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Finding the Fourth Proportional to 6,748.76, 9,314.42 and 4,097.93

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Solution

The fourth proportional to 6,748.76, 9,314.42 and 4,097.93 is: 5,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.76 : 9,314.42 = 4,097.93 : x
  2. Step 2: Convert to fraction form
    6,748.76/9,314.42 = 4,097.93/x
  3. Step 3: Cross multiply
    6,748.76x = 9,314.42 × 4,097.93
  4. Step 4: Simplify right side
    6,748.76x = 38,169,841.15
  5. Step 5: Solve for x
    x = 38,169,841.15/6,748.76
  6. Step 6: Final answer
    x = 5,655.83

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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.