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Finding the Fourth Proportional to 37,447.08, 56,170.46 and 9,745

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Solution

The fourth proportional to 37,447.08, 56,170.46 and 9,745 is: 14,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,447.08 : 56,170.46 = 9,745 : x
  2. Step 2: Convert to fraction form
    37,447.08/56,170.46 = 9,745/x
  3. Step 3: Cross multiply
    37,447.08x = 56,170.46 × 9,745
  4. Step 4: Simplify right side
    37,447.08x = 547,381,132.70
  5. Step 5: Solve for x
    x = 547,381,132.70/37,447.08
  6. Step 6: Final answer
    x = 14,617.46

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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.