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Finding the Fourth Proportional to 9,911.88, 13,680.42 and 5,719.56

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Solution

The fourth proportional to 9,911.88, 13,680.42 and 5,719.56 is: 7,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.88 : 13,680.42 = 5,719.56 : x
  2. Step 2: Convert to fraction form
    9,911.88/13,680.42 = 5,719.56/x
  3. Step 3: Cross multiply
    9,911.88x = 13,680.42 × 5,719.56
  4. Step 4: Simplify right side
    9,911.88x = 78,245,983.02
  5. Step 5: Solve for x
    x = 78,245,983.02/9,911.88
  6. Step 6: Final answer
    x = 7,894.16

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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.