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Finding the Fourth Proportional to 9,852.48, 14,771.04 and 4,919.64

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Solution

The fourth proportional to 9,852.48, 14,771.04 and 4,919.64 is: 7,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.48 : 14,771.04 = 4,919.64 : x
  2. Step 2: Convert to fraction form
    9,852.48/14,771.04 = 4,919.64/x
  3. Step 3: Cross multiply
    9,852.48x = 14,771.04 × 4,919.64
  4. Step 4: Simplify right side
    9,852.48x = 72,668,199.23
  5. Step 5: Solve for x
    x = 72,668,199.23/9,852.48
  6. Step 6: Final answer
    x = 7,375.63

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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.