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Finding the Fourth Proportional to 9,913.71, 13,680.91 and 5,437.48

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Solution

The fourth proportional to 9,913.71, 13,680.91 and 5,437.48 is: 7,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.71 : 13,680.91 = 5,437.48 : x
  2. Step 2: Convert to fraction form
    9,913.71/13,680.91 = 5,437.48/x
  3. Step 3: Cross multiply
    9,913.71x = 13,680.91 × 5,437.48
  4. Step 4: Simplify right side
    9,913.71x = 74,389,578.91
  5. Step 5: Solve for x
    x = 74,389,578.91/9,913.71
  6. Step 6: Final answer
    x = 7,503.71

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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.