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Finding the Fourth Proportional to 7,081.72, 9,773.98 and 4,097.64

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Solution

The fourth proportional to 7,081.72, 9,773.98 and 4,097.64 is: 5,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.72 : 9,773.98 = 4,097.64 : x
  2. Step 2: Convert to fraction form
    7,081.72/9,773.98 = 4,097.64/x
  3. Step 3: Cross multiply
    7,081.72x = 9,773.98 × 4,097.64
  4. Step 4: Simplify right side
    7,081.72x = 40,050,251.41
  5. Step 5: Solve for x
    x = 40,050,251.41/7,081.72
  6. Step 6: Final answer
    x = 5,655.44

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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.