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Finding the Fourth Proportional to 37,439.08, 56,158.46 and 9,737

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Solution

The fourth proportional to 37,439.08, 56,158.46 and 9,737 is: 14,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,439.08 : 56,158.46 = 9,737 : x
  2. Step 2: Convert to fraction form
    37,439.08/56,158.46 = 9,737/x
  3. Step 3: Cross multiply
    37,439.08x = 56,158.46 × 9,737
  4. Step 4: Simplify right side
    37,439.08x = 546,814,925.02
  5. Step 5: Solve for x
    x = 546,814,925.02/37,439.08
  6. Step 6: Final answer
    x = 14,605.46

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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.