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Finding the Fourth Proportional to 9,789.57, 14,665.87 and 7,587.52

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Solution

The fourth proportional to 9,789.57, 14,665.87 and 7,587.52 is: 11,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.57 : 14,665.87 = 7,587.52 : x
  2. Step 2: Convert to fraction form
    9,789.57/14,665.87 = 7,587.52/x
  3. Step 3: Cross multiply
    9,789.57x = 14,665.87 × 7,587.52
  4. Step 4: Simplify right side
    9,789.57x = 111,277,581.94
  5. Step 5: Solve for x
    x = 111,277,581.94/9,789.57
  6. Step 6: Final answer
    x = 11,366.95

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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.