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Finding the Fourth Proportional to 9,293.52, 13,945.04 and 6,175.66

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Solution

The fourth proportional to 9,293.52, 13,945.04 and 6,175.66 is: 9,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.52 : 13,945.04 = 6,175.66 : x
  2. Step 2: Convert to fraction form
    9,293.52/13,945.04 = 6,175.66/x
  3. Step 3: Cross multiply
    9,293.52x = 13,945.04 × 6,175.66
  4. Step 4: Simplify right side
    9,293.52x = 86,119,825.73
  5. Step 5: Solve for x
    x = 86,119,825.73/9,293.52
  6. Step 6: Final answer
    x = 9,266.65

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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.