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Finding the Fourth Proportional to 37,421, 56,132.32 and 9,340.73

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Solution

The fourth proportional to 37,421, 56,132.32 and 9,340.73 is: 14,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,421 : 56,132.32 = 9,340.73 : x
  2. Step 2: Convert to fraction form
    37,421/56,132.32 = 9,340.73/x
  3. Step 3: Cross multiply
    37,421x = 56,132.32 × 9,340.73
  4. Step 4: Simplify right side
    37,421x = 524,316,845.39
  5. Step 5: Solve for x
    x = 524,316,845.39/37,421
  6. Step 6: Final answer
    x = 14,011.30

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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.