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Finding the Fourth Proportional to 6,505.71, 9,756.15 and 2,344.60

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Solution

The fourth proportional to 6,505.71, 9,756.15 and 2,344.60 is: 3,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.71 : 9,756.15 = 2,344.60 : x
  2. Step 2: Convert to fraction form
    6,505.71/9,756.15 = 2,344.60/x
  3. Step 3: Cross multiply
    6,505.71x = 9,756.15 × 2,344.60
  4. Step 4: Simplify right side
    6,505.71x = 22,874,269.29
  5. Step 5: Solve for x
    x = 22,874,269.29/6,505.71
  6. Step 6: Final answer
    x = 3,516.03

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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.