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Finding the Fourth Proportional to 9,874.47, 13,627.95 and 5,683.53

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Solution

The fourth proportional to 9,874.47, 13,627.95 and 5,683.53 is: 7,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.47 : 13,627.95 = 5,683.53 : x
  2. Step 2: Convert to fraction form
    9,874.47/13,627.95 = 5,683.53/x
  3. Step 3: Cross multiply
    9,874.47x = 13,627.95 × 5,683.53
  4. Step 4: Simplify right side
    9,874.47x = 77,454,862.66
  5. Step 5: Solve for x
    x = 77,454,862.66/9,874.47
  6. Step 6: Final answer
    x = 7,843.95

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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.