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Finding the Fourth Proportional to 9,508.59, 14,233.01 and 6,529.59

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Solution

The fourth proportional to 9,508.59, 14,233.01 and 6,529.59 is: 9,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.59 : 14,233.01 = 6,529.59 : x
  2. Step 2: Convert to fraction form
    9,508.59/14,233.01 = 6,529.59/x
  3. Step 3: Cross multiply
    9,508.59x = 14,233.01 × 6,529.59
  4. Step 4: Simplify right side
    9,508.59x = 92,935,687.12
  5. Step 5: Solve for x
    x = 92,935,687.12/9,508.59
  6. Step 6: Final answer
    x = 9,773.87

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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.