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Finding the Fourth Proportional to 9,327.88, 13,987.40 and 3,400.57

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Solution

The fourth proportional to 9,327.88, 13,987.40 and 3,400.57 is: 5,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.88 : 13,987.40 = 3,400.57 : x
  2. Step 2: Convert to fraction form
    9,327.88/13,987.40 = 3,400.57/x
  3. Step 3: Cross multiply
    9,327.88x = 13,987.40 × 3,400.57
  4. Step 4: Simplify right side
    9,327.88x = 47,565,132.82
  5. Step 5: Solve for x
    x = 47,565,132.82/9,327.88
  6. Step 6: Final answer
    x = 5,099.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.