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Finding the Fourth Proportional to 9,589.34, 14,382.80 and 7,127.76

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Solution

The fourth proportional to 9,589.34, 14,382.80 and 7,127.76 is: 10,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.34 : 14,382.80 = 7,127.76 : x
  2. Step 2: Convert to fraction form
    9,589.34/14,382.80 = 7,127.76/x
  3. Step 3: Cross multiply
    9,589.34x = 14,382.80 × 7,127.76
  4. Step 4: Simplify right side
    9,589.34x = 102,517,146.53
  5. Step 5: Solve for x
    x = 102,517,146.53/9,589.34
  6. Step 6: Final answer
    x = 10,690.74

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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.