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Finding the Fourth Proportional to 37,775.30, 56,663.52 and 9,694.76

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Solution

The fourth proportional to 37,775.30, 56,663.52 and 9,694.76 is: 14,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,775.30 : 56,663.52 = 9,694.76 : x
  2. Step 2: Convert to fraction form
    37,775.30/56,663.52 = 9,694.76/x
  3. Step 3: Cross multiply
    37,775.30x = 56,663.52 × 9,694.76
  4. Step 4: Simplify right side
    37,775.30x = 549,339,227.16
  5. Step 5: Solve for x
    x = 549,339,227.16/37,775.30
  6. Step 6: Final answer
    x = 14,542.29

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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.