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Finding the Fourth Proportional to 37,771.56, 56,657.13 and 9,691.56

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Solution

The fourth proportional to 37,771.56, 56,657.13 and 9,691.56 is: 14,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,771.56 : 56,657.13 = 9,691.56 : x
  2. Step 2: Convert to fraction form
    37,771.56/56,657.13 = 9,691.56/x
  3. Step 3: Cross multiply
    37,771.56x = 56,657.13 × 9,691.56
  4. Step 4: Simplify right side
    37,771.56x = 549,095,974.82
  5. Step 5: Solve for x
    x = 549,095,974.82/37,771.56
  6. Step 6: Final answer
    x = 14,537.29

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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.