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Finding the Fourth Proportional to 9,782,915.40, 14,656,658.40 and 8,365,739.40

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Solution

The fourth proportional to 9,782,915.40, 14,656,658.40 and 8,365,739.40 is: 12,533,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782,915.40 : 14,656,658.40 = 8,365,739.40 : x
  2. Step 2: Convert to fraction form
    9,782,915.40/14,656,658.40 = 8,365,739.40/x
  3. Step 3: Cross multiply
    9,782,915.40x = 14,656,658.40 × 8,365,739.40
  4. Step 4: Simplify right side
    9,782,915.40x = 122,613,784,649,220.97
  5. Step 5: Solve for x
    x = 122,613,784,649,220.97/9,782,915.40
  6. Step 6: Final answer
    x = 12,533,460.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.