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Finding the Fourth Proportional to 9,902.46, 14,852.10 and 3,665.43

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Solution

The fourth proportional to 9,902.46, 14,852.10 and 3,665.43 is: 5,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.46 : 14,852.10 = 3,665.43 : x
  2. Step 2: Convert to fraction form
    9,902.46/14,852.10 = 3,665.43/x
  3. Step 3: Cross multiply
    9,902.46x = 14,852.10 × 3,665.43
  4. Step 4: Simplify right side
    9,902.46x = 54,439,332.90
  5. Step 5: Solve for x
    x = 54,439,332.90/9,902.46
  6. Step 6: Final answer
    x = 5,497.56

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