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Finding the Fourth Proportional to 6,305.92, 9,458.88 and 2,842.24

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Solution

The fourth proportional to 6,305.92, 9,458.88 and 2,842.24 is: 4,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.92 : 9,458.88 = 2,842.24 : x
  2. Step 2: Convert to fraction form
    6,305.92/9,458.88 = 2,842.24/x
  3. Step 3: Cross multiply
    6,305.92x = 9,458.88 × 2,842.24
  4. Step 4: Simplify right side
    6,305.92x = 26,884,407.09
  5. Step 5: Solve for x
    x = 26,884,407.09/6,305.92
  6. Step 6: Final answer
    x = 4,263.36

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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.