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Finding the Fourth Proportional to 9,756.39, 13,463.82 and 5,280.15

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Solution

The fourth proportional to 9,756.39, 13,463.82 and 5,280.15 is: 7,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.39 : 13,463.82 = 5,280.15 : x
  2. Step 2: Convert to fraction form
    9,756.39/13,463.82 = 5,280.15/x
  3. Step 3: Cross multiply
    9,756.39x = 13,463.82 × 5,280.15
  4. Step 4: Simplify right side
    9,756.39x = 71,090,989.17
  5. Step 5: Solve for x
    x = 71,090,989.17/9,756.39
  6. Step 6: Final answer
    x = 7,286.61

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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.