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Finding the Fourth Proportional to 37,338.52, 56,006.30 and 9,258.64

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Solution

The fourth proportional to 37,338.52, 56,006.30 and 9,258.64 is: 13,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,338.52 : 56,006.30 = 9,258.64 : x
  2. Step 2: Convert to fraction form
    37,338.52/56,006.30 = 9,258.64/x
  3. Step 3: Cross multiply
    37,338.52x = 56,006.30 × 9,258.64
  4. Step 4: Simplify right side
    37,338.52x = 518,542,169.43
  5. Step 5: Solve for x
    x = 518,542,169.43/37,338.52
  6. Step 6: Final answer
    x = 13,887.59

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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.