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Finding the Fourth Proportional to 9,357.87, 14,032.10 and 3,115.66

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Solution

The fourth proportional to 9,357.87, 14,032.10 and 3,115.66 is: 4,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.87 : 14,032.10 = 3,115.66 : x
  2. Step 2: Convert to fraction form
    9,357.87/14,032.10 = 3,115.66/x
  3. Step 3: Cross multiply
    9,357.87x = 14,032.10 × 3,115.66
  4. Step 4: Simplify right side
    9,357.87x = 43,719,202.03
  5. Step 5: Solve for x
    x = 43,719,202.03/9,357.87
  6. Step 6: Final answer
    x = 4,671.92

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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.