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Finding the Fourth Proportional to 9,161.29, 12,648.26 and 7,032.75

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Solution

The fourth proportional to 9,161.29, 12,648.26 and 7,032.75 is: 9,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.29 : 12,648.26 = 7,032.75 : x
  2. Step 2: Convert to fraction form
    9,161.29/12,648.26 = 7,032.75/x
  3. Step 3: Cross multiply
    9,161.29x = 12,648.26 × 7,032.75
  4. Step 4: Simplify right side
    9,161.29x = 88,952,066.13
  5. Step 5: Solve for x
    x = 88,952,066.13/9,161.29
  6. Step 6: Final answer
    x = 9,709.56

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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.