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Finding the Fourth Proportional to 37,778.38, 56,666.40 and 9,697.30

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Solution

The fourth proportional to 37,778.38, 56,666.40 and 9,697.30 is: 14,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,778.38 : 56,666.40 = 9,697.30 : x
  2. Step 2: Convert to fraction form
    37,778.38/56,666.40 = 9,697.30/x
  3. Step 3: Cross multiply
    37,778.38x = 56,666.40 × 9,697.30
  4. Step 4: Simplify right side
    37,778.38x = 549,511,080.72
  5. Step 5: Solve for x
    x = 549,511,080.72/37,778.38
  6. Step 6: Final answer
    x = 14,545.65

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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.