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Finding the Fourth Proportional to 9,724.16, 14,565.31 and 5,561.98

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Solution

The fourth proportional to 9,724.16, 14,565.31 and 5,561.98 is: 8,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.16 : 14,565.31 = 5,561.98 : x
  2. Step 2: Convert to fraction form
    9,724.16/14,565.31 = 5,561.98/x
  3. Step 3: Cross multiply
    9,724.16x = 14,565.31 × 5,561.98
  4. Step 4: Simplify right side
    9,724.16x = 81,011,962.91
  5. Step 5: Solve for x
    x = 81,011,962.91/9,724.16
  6. Step 6: Final answer
    x = 8,331.00

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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.