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Finding the Fourth Proportional to 9,488.09, 13,092.89 and 5,238.47

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Solution

The fourth proportional to 9,488.09, 13,092.89 and 5,238.47 is: 7,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.09 : 13,092.89 = 5,238.47 : x
  2. Step 2: Convert to fraction form
    9,488.09/13,092.89 = 5,238.47/x
  3. Step 3: Cross multiply
    9,488.09x = 13,092.89 × 5,238.47
  4. Step 4: Simplify right side
    9,488.09x = 68,586,711.48
  5. Step 5: Solve for x
    x = 68,586,711.48/9,488.09
  6. Step 6: Final answer
    x = 7,228.72

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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.