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Finding the Fourth Proportional to 9,884.74, 13,641.15 and 5,408.79

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Solution

The fourth proportional to 9,884.74, 13,641.15 and 5,408.79 is: 7,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.74 : 13,641.15 = 5,408.79 : x
  2. Step 2: Convert to fraction form
    9,884.74/13,641.15 = 5,408.79/x
  3. Step 3: Cross multiply
    9,884.74x = 13,641.15 × 5,408.79
  4. Step 4: Simplify right side
    9,884.74x = 73,782,115.71
  5. Step 5: Solve for x
    x = 73,782,115.71/9,884.74
  6. Step 6: Final answer
    x = 7,464.24

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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.