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Finding the Fourth Proportional to 9,033.12, 12,451.92 and 6,514.08

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Solution

The fourth proportional to 9,033.12, 12,451.92 and 6,514.08 is: 8,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.12 : 12,451.92 = 6,514.08 : x
  2. Step 2: Convert to fraction form
    9,033.12/12,451.92 = 6,514.08/x
  3. Step 3: Cross multiply
    9,033.12x = 12,451.92 × 6,514.08
  4. Step 4: Simplify right side
    9,033.12x = 81,112,803.03
  5. Step 5: Solve for x
    x = 81,112,803.03/9,033.12
  6. Step 6: Final answer
    x = 8,979.49

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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.