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Finding the Fourth Proportional to 9,193.32, 13,772.70 and 4,565.16

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Solution

The fourth proportional to 9,193.32, 13,772.70 and 4,565.16 is: 6,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.32 : 13,772.70 = 4,565.16 : x
  2. Step 2: Convert to fraction form
    9,193.32/13,772.70 = 4,565.16/x
  3. Step 3: Cross multiply
    9,193.32x = 13,772.70 × 4,565.16
  4. Step 4: Simplify right side
    9,193.32x = 62,874,579.13
  5. Step 5: Solve for x
    x = 62,874,579.13/9,193.32
  6. Step 6: Final answer
    x = 6,839.16

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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.