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Finding the Fourth Proportional to 9,709.48, 14,553.81 and 5,024.76

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Solution

The fourth proportional to 9,709.48, 14,553.81 and 5,024.76 is: 7,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.48 : 14,553.81 = 5,024.76 : x
  2. Step 2: Convert to fraction form
    9,709.48/14,553.81 = 5,024.76/x
  3. Step 3: Cross multiply
    9,709.48x = 14,553.81 × 5,024.76
  4. Step 4: Simplify right side
    9,709.48x = 73,129,402.34
  5. Step 5: Solve for x
    x = 73,129,402.34/9,709.48
  6. Step 6: Final answer
    x = 7,531.75

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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.