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Finding the Fourth Proportional to 9,642.72, 13,305.36 and 6,057.12

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Solution

The fourth proportional to 9,642.72, 13,305.36 and 6,057.12 is: 8,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.72 : 13,305.36 = 6,057.12 : x
  2. Step 2: Convert to fraction form
    9,642.72/13,305.36 = 6,057.12/x
  3. Step 3: Cross multiply
    9,642.72x = 13,305.36 × 6,057.12
  4. Step 4: Simplify right side
    9,642.72x = 80,592,162.16
  5. Step 5: Solve for x
    x = 80,592,162.16/9,642.72
  6. Step 6: Final answer
    x = 8,357.82

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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.