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Finding the Fourth Proportional to 9,924.87, 13,697.41 and 5,676.32

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Solution

The fourth proportional to 9,924.87, 13,697.41 and 5,676.32 is: 7,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.87 : 13,697.41 = 5,676.32 : x
  2. Step 2: Convert to fraction form
    9,924.87/13,697.41 = 5,676.32/x
  3. Step 3: Cross multiply
    9,924.87x = 13,697.41 × 5,676.32
  4. Step 4: Simplify right side
    9,924.87x = 77,750,853.95
  5. Step 5: Solve for x
    x = 77,750,853.95/9,924.87
  6. Step 6: Final answer
    x = 7,833.95

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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.