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Finding the Fourth Proportional to 6,740.59, 9,301.72 and 3,756.75

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Solution

The fourth proportional to 6,740.59, 9,301.72 and 3,756.75 is: 5,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.59 : 9,301.72 = 3,756.75 : x
  2. Step 2: Convert to fraction form
    6,740.59/9,301.72 = 3,756.75/x
  3. Step 3: Cross multiply
    6,740.59x = 9,301.72 × 3,756.75
  4. Step 4: Simplify right side
    6,740.59x = 34,944,236.61
  5. Step 5: Solve for x
    x = 34,944,236.61/6,740.59
  6. Step 6: Final answer
    x = 5,184.15

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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.