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Finding the Fourth Proportional to 9,724.87, 14,587.20 and 6,597.13

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Solution

The fourth proportional to 9,724.87, 14,587.20 and 6,597.13 is: 9,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.87 : 14,587.20 = 6,597.13 : x
  2. Step 2: Convert to fraction form
    9,724.87/14,587.20 = 6,597.13/x
  3. Step 3: Cross multiply
    9,724.87x = 14,587.20 × 6,597.13
  4. Step 4: Simplify right side
    9,724.87x = 96,233,654.74
  5. Step 5: Solve for x
    x = 96,233,654.74/9,724.87
  6. Step 6: Final answer
    x = 9,895.62

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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.