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Finding the Fourth Proportional to 9,756.38, 13,463.84 and 5,280.19

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Solution

The fourth proportional to 9,756.38, 13,463.84 and 5,280.19 is: 7,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.38 : 13,463.84 = 5,280.19 : x
  2. Step 2: Convert to fraction form
    9,756.38/13,463.84 = 5,280.19/x
  3. Step 3: Cross multiply
    9,756.38x = 13,463.84 × 5,280.19
  4. Step 4: Simplify right side
    9,756.38x = 71,091,612.87
  5. Step 5: Solve for x
    x = 71,091,612.87/9,756.38
  6. Step 6: Final answer
    x = 7,286.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.