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Finding the Fourth Proportional to 9,910.40, 13,677.72 and 5,718.56

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Solution

The fourth proportional to 9,910.40, 13,677.72 and 5,718.56 is: 7,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.40 : 13,677.72 = 5,718.56 : x
  2. Step 2: Convert to fraction form
    9,910.40/13,677.72 = 5,718.56/x
  3. Step 3: Cross multiply
    9,910.40x = 13,677.72 × 5,718.56
  4. Step 4: Simplify right side
    9,910.40x = 78,216,862.48
  5. Step 5: Solve for x
    x = 78,216,862.48/9,910.40
  6. Step 6: Final answer
    x = 7,892.40

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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.