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Finding the Fourth Proportional to 9,718.84, 13,414.22 and 5,687.52

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Solution

The fourth proportional to 9,718.84, 13,414.22 and 5,687.52 is: 7,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.84 : 13,414.22 = 5,687.52 : x
  2. Step 2: Convert to fraction form
    9,718.84/13,414.22 = 5,687.52/x
  3. Step 3: Cross multiply
    9,718.84x = 13,414.22 × 5,687.52
  4. Step 4: Simplify right side
    9,718.84x = 76,293,644.53
  5. Step 5: Solve for x
    x = 76,293,644.53/9,718.84
  6. Step 6: Final answer
    x = 7,850.08

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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.