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Finding the Fourth Proportional to 9,709.70, 14,542.68 and 5,805.92

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Solution

The fourth proportional to 9,709.70, 14,542.68 and 5,805.92 is: 8,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.70 : 14,542.68 = 5,805.92 : x
  2. Step 2: Convert to fraction form
    9,709.70/14,542.68 = 5,805.92/x
  3. Step 3: Cross multiply
    9,709.70x = 14,542.68 × 5,805.92
  4. Step 4: Simplify right side
    9,709.70x = 84,433,636.67
  5. Step 5: Solve for x
    x = 84,433,636.67/9,709.70
  6. Step 6: Final answer
    x = 8,695.80

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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.