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Finding the Fourth Proportional to 6,306.64, 9,456.72 and 2,842

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Solution

The fourth proportional to 6,306.64, 9,456.72 and 2,842 is: 4,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.64 : 9,456.72 = 2,842 : x
  2. Step 2: Convert to fraction form
    6,306.64/9,456.72 = 2,842/x
  3. Step 3: Cross multiply
    6,306.64x = 9,456.72 × 2,842
  4. Step 4: Simplify right side
    6,306.64x = 26,875,998.24
  5. Step 5: Solve for x
    x = 26,875,998.24/6,306.64
  6. Step 6: Final answer
    x = 4,261.54

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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.