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Finding the Fourth Proportional to 9,046.32, 13,553.37 and 5,534.61

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Solution

The fourth proportional to 9,046.32, 13,553.37 and 5,534.61 is: 8,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.32 : 13,553.37 = 5,534.61 : x
  2. Step 2: Convert to fraction form
    9,046.32/13,553.37 = 5,534.61/x
  3. Step 3: Cross multiply
    9,046.32x = 13,553.37 × 5,534.61
  4. Step 4: Simplify right side
    9,046.32x = 75,012,617.14
  5. Step 5: Solve for x
    x = 75,012,617.14/9,046.32
  6. Step 6: Final answer
    x = 8,292.06

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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.