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Finding the Fourth Proportional to 9,913.12, 13,679.12 and 5,722.72

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Solution

The fourth proportional to 9,913.12, 13,679.12 and 5,722.72 is: 7,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.12 : 13,679.12 = 5,722.72 : x
  2. Step 2: Convert to fraction form
    9,913.12/13,679.12 = 5,722.72/x
  3. Step 3: Cross multiply
    9,913.12x = 13,679.12 × 5,722.72
  4. Step 4: Simplify right side
    9,913.12x = 78,281,773.61
  5. Step 5: Solve for x
    x = 78,281,773.61/9,913.12
  6. Step 6: Final answer
    x = 7,896.78

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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.