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Finding the Fourth Proportional to 9,565.90, 14,349.68 and 2,640.40

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Solution

The fourth proportional to 9,565.90, 14,349.68 and 2,640.40 is: 3,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.90 : 14,349.68 = 2,640.40 : x
  2. Step 2: Convert to fraction form
    9,565.90/14,349.68 = 2,640.40/x
  3. Step 3: Cross multiply
    9,565.90x = 14,349.68 × 2,640.40
  4. Step 4: Simplify right side
    9,565.90x = 37,888,895.07
  5. Step 5: Solve for x
    x = 37,888,895.07/9,565.90
  6. Step 6: Final answer
    x = 3,960.83

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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.