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Finding the Fourth Proportional to 9,549.04, 14,321.92 and 2,529.12

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Solution

The fourth proportional to 9,549.04, 14,321.92 and 2,529.12 is: 3,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.04 : 14,321.92 = 2,529.12 : x
  2. Step 2: Convert to fraction form
    9,549.04/14,321.92 = 2,529.12/x
  3. Step 3: Cross multiply
    9,549.04x = 14,321.92 × 2,529.12
  4. Step 4: Simplify right side
    9,549.04x = 36,221,854.31
  5. Step 5: Solve for x
    x = 36,221,854.31/9,549.04
  6. Step 6: Final answer
    x = 3,793.25

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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.