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Finding the Fourth Proportional to 9,913.45, 13,680.54 and 5,721.70

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Solution

The fourth proportional to 9,913.45, 13,680.54 and 5,721.70 is: 7,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.45 : 13,680.54 = 5,721.70 : x
  2. Step 2: Convert to fraction form
    9,913.45/13,680.54 = 5,721.70/x
  3. Step 3: Cross multiply
    9,913.45x = 13,680.54 × 5,721.70
  4. Step 4: Simplify right side
    9,913.45x = 78,275,945.72
  5. Step 5: Solve for x
    x = 78,275,945.72/9,913.45
  6. Step 6: Final answer
    x = 7,895.93

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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.