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Finding the Fourth Proportional to 9,238.71, 12,750.66 and 5,260.23

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Solution

The fourth proportional to 9,238.71, 12,750.66 and 5,260.23 is: 7,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.71 : 12,750.66 = 5,260.23 : x
  2. Step 2: Convert to fraction form
    9,238.71/12,750.66 = 5,260.23/x
  3. Step 3: Cross multiply
    9,238.71x = 12,750.66 × 5,260.23
  4. Step 4: Simplify right side
    9,238.71x = 67,071,404.25
  5. Step 5: Solve for x
    x = 67,071,404.25/9,238.71
  6. Step 6: Final answer
    x = 7,259.82

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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.