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Finding the Fourth Proportional to 9,720.39, 14,595.17 and 5,565.09

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Solution

The fourth proportional to 9,720.39, 14,595.17 and 5,565.09 is: 8,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.39 : 14,595.17 = 5,565.09 : x
  2. Step 2: Convert to fraction form
    9,720.39/14,595.17 = 5,565.09/x
  3. Step 3: Cross multiply
    9,720.39x = 14,595.17 × 5,565.09
  4. Step 4: Simplify right side
    9,720.39x = 81,223,434.62
  5. Step 5: Solve for x
    x = 81,223,434.62/9,720.39
  6. Step 6: Final answer
    x = 8,355.99

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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.