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Finding the Fourth Proportional to 9,687.12, 14,524.20 and 4,490.16

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Solution

The fourth proportional to 9,687.12, 14,524.20 and 4,490.16 is: 6,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.12 : 14,524.20 = 4,490.16 : x
  2. Step 2: Convert to fraction form
    9,687.12/14,524.20 = 4,490.16/x
  3. Step 3: Cross multiply
    9,687.12x = 14,524.20 × 4,490.16
  4. Step 4: Simplify right side
    9,687.12x = 65,215,981.87
  5. Step 5: Solve for x
    x = 65,215,981.87/9,687.12
  6. Step 6: Final answer
    x = 6,732.24

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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.