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Finding the Fourth Proportional to 9,960.48, 13,746.24 and 5,983.20

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Solution

The fourth proportional to 9,960.48, 13,746.24 and 5,983.20 is: 8,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.48 : 13,746.24 = 5,983.20 : x
  2. Step 2: Convert to fraction form
    9,960.48/13,746.24 = 5,983.20/x
  3. Step 3: Cross multiply
    9,960.48x = 13,746.24 × 5,983.20
  4. Step 4: Simplify right side
    9,960.48x = 82,246,503.17
  5. Step 5: Solve for x
    x = 82,246,503.17/9,960.48
  6. Step 6: Final answer
    x = 8,257.28

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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.