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Finding the Fourth Proportional to 9,756.47, 13,463.93 and 5,280.21

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Solution

The fourth proportional to 9,756.47, 13,463.93 and 5,280.21 is: 7,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.47 : 13,463.93 = 5,280.21 : x
  2. Step 2: Convert to fraction form
    9,756.47/13,463.93 = 5,280.21/x
  3. Step 3: Cross multiply
    9,756.47x = 13,463.93 × 5,280.21
  4. Step 4: Simplify right side
    9,756.47x = 71,092,377.83
  5. Step 5: Solve for x
    x = 71,092,377.83/9,756.47
  6. Step 6: Final answer
    x = 7,286.69

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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.