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Finding the Fourth Proportional to 9,344.54, 12,893.21 and 5,565.29

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Solution

The fourth proportional to 9,344.54, 12,893.21 and 5,565.29 is: 7,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.54 : 12,893.21 = 5,565.29 : x
  2. Step 2: Convert to fraction form
    9,344.54/12,893.21 = 5,565.29/x
  3. Step 3: Cross multiply
    9,344.54x = 12,893.21 × 5,565.29
  4. Step 4: Simplify right side
    9,344.54x = 71,754,381.26
  5. Step 5: Solve for x
    x = 71,754,381.26/9,344.54
  6. Step 6: Final answer
    x = 7,678.75

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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.