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Finding the Fourth Proportional to 9,549.47, 13,168.55 and 6,361.85

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Solution

The fourth proportional to 9,549.47, 13,168.55 and 6,361.85 is: 8,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.47 : 13,168.55 = 6,361.85 : x
  2. Step 2: Convert to fraction form
    9,549.47/13,168.55 = 6,361.85/x
  3. Step 3: Cross multiply
    9,549.47x = 13,168.55 × 6,361.85
  4. Step 4: Simplify right side
    9,549.47x = 83,776,242.17
  5. Step 5: Solve for x
    x = 83,776,242.17/9,549.47
  6. Step 6: Final answer
    x = 8,772.87

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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.