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Finding the Fourth Proportional to 6,560.86, 9,054.76 and 3,729.11

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Solution

The fourth proportional to 6,560.86, 9,054.76 and 3,729.11 is: 5,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.86 : 9,054.76 = 3,729.11 : x
  2. Step 2: Convert to fraction form
    6,560.86/9,054.76 = 3,729.11/x
  3. Step 3: Cross multiply
    6,560.86x = 9,054.76 × 3,729.11
  4. Step 4: Simplify right side
    6,560.86x = 33,766,196.06
  5. Step 5: Solve for x
    x = 33,766,196.06/6,560.86
  6. Step 6: Final answer
    x = 5,146.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.