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Finding the Fourth Proportional to 9,393.76, 12,963.53 and 5,144.74

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Solution

The fourth proportional to 9,393.76, 12,963.53 and 5,144.74 is: 7,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.76 : 12,963.53 = 5,144.74 : x
  2. Step 2: Convert to fraction form
    9,393.76/12,963.53 = 5,144.74/x
  3. Step 3: Cross multiply
    9,393.76x = 12,963.53 × 5,144.74
  4. Step 4: Simplify right side
    9,393.76x = 66,693,979.31
  5. Step 5: Solve for x
    x = 66,693,979.31/9,393.76
  6. Step 6: Final answer
    x = 7,099.82

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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.