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Finding the Fourth Proportional to 9,535.41, 13,145.25 and 7,854.15

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Solution

The fourth proportional to 9,535.41, 13,145.25 and 7,854.15 is: 10,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.41 : 13,145.25 = 7,854.15 : x
  2. Step 2: Convert to fraction form
    9,535.41/13,145.25 = 7,854.15/x
  3. Step 3: Cross multiply
    9,535.41x = 13,145.25 × 7,854.15
  4. Step 4: Simplify right side
    9,535.41x = 103,244,765.29
  5. Step 5: Solve for x
    x = 103,244,765.29/9,535.41
  6. Step 6: Final answer
    x = 10,827.51

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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.