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Finding the Fourth Proportional to 9,545.74, 13,168.03 and 5,565.40

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Solution

The fourth proportional to 9,545.74, 13,168.03 and 5,565.40 is: 7,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.74 : 13,168.03 = 5,565.40 : x
  2. Step 2: Convert to fraction form
    9,545.74/13,168.03 = 5,565.40/x
  3. Step 3: Cross multiply
    9,545.74x = 13,168.03 × 5,565.40
  4. Step 4: Simplify right side
    9,545.74x = 73,285,354.16
  5. Step 5: Solve for x
    x = 73,285,354.16/9,545.74
  6. Step 6: Final answer
    x = 7,677.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.