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Finding the Fourth Proportional to 9,632.57, 14,453.03 and 3,397.04

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Solution

The fourth proportional to 9,632.57, 14,453.03 and 3,397.04 is: 5,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.57 : 14,453.03 = 3,397.04 : x
  2. Step 2: Convert to fraction form
    9,632.57/14,453.03 = 3,397.04/x
  3. Step 3: Cross multiply
    9,632.57x = 14,453.03 × 3,397.04
  4. Step 4: Simplify right side
    9,632.57x = 49,097,565.66
  5. Step 5: Solve for x
    x = 49,097,565.66/9,632.57
  6. Step 6: Final answer
    x = 5,097.04

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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.