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Finding the Fourth Proportional to 9,807.40, 14,715.90 and 7,466.60

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Solution

The fourth proportional to 9,807.40, 14,715.90 and 7,466.60 is: 11,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.40 : 14,715.90 = 7,466.60 : x
  2. Step 2: Convert to fraction form
    9,807.40/14,715.90 = 7,466.60/x
  3. Step 3: Cross multiply
    9,807.40x = 14,715.90 × 7,466.60
  4. Step 4: Simplify right side
    9,807.40x = 109,877,738.94
  5. Step 5: Solve for x
    x = 109,877,738.94/9,807.40
  6. Step 6: Final answer
    x = 11,203.55

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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.