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Finding the Fourth Proportional to 9,267.59, 12,789.13 and 5,288.60

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Solution

The fourth proportional to 9,267.59, 12,789.13 and 5,288.60 is: 7,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.59 : 12,789.13 = 5,288.60 : x
  2. Step 2: Convert to fraction form
    9,267.59/12,789.13 = 5,288.60/x
  3. Step 3: Cross multiply
    9,267.59x = 12,789.13 × 5,288.60
  4. Step 4: Simplify right side
    9,267.59x = 67,636,592.92
  5. Step 5: Solve for x
    x = 67,636,592.92/9,267.59
  6. Step 6: Final answer
    x = 7,298.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.