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Finding the Fourth Proportional to 9,902.16, 14,849.48 and 3,237.10

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Solution

The fourth proportional to 9,902.16, 14,849.48 and 3,237.10 is: 4,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.16 : 14,849.48 = 3,237.10 : x
  2. Step 2: Convert to fraction form
    9,902.16/14,849.48 = 3,237.10/x
  3. Step 3: Cross multiply
    9,902.16x = 14,849.48 × 3,237.10
  4. Step 4: Simplify right side
    9,902.16x = 48,069,251.71
  5. Step 5: Solve for x
    x = 48,069,251.71/9,902.16
  6. Step 6: Final answer
    x = 4,854.42

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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.