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Finding the Fourth Proportional to 6,182.52, 9,275.40 and 2,287.32

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Solution

The fourth proportional to 6,182.52, 9,275.40 and 2,287.32 is: 3,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.52 : 9,275.40 = 2,287.32 : x
  2. Step 2: Convert to fraction form
    6,182.52/9,275.40 = 2,287.32/x
  3. Step 3: Cross multiply
    6,182.52x = 9,275.40 × 2,287.32
  4. Step 4: Simplify right side
    6,182.52x = 21,215,807.93
  5. Step 5: Solve for x
    x = 21,215,807.93/6,182.52
  6. Step 6: Final answer
    x = 3,431.58

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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.