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Finding the Fourth Proportional to 9,215.60, 12,718.70 and 6,864.44

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Solution

The fourth proportional to 9,215.60, 12,718.70 and 6,864.44 is: 9,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.60 : 12,718.70 = 6,864.44 : x
  2. Step 2: Convert to fraction form
    9,215.60/12,718.70 = 6,864.44/x
  3. Step 3: Cross multiply
    9,215.60x = 12,718.70 × 6,864.44
  4. Step 4: Simplify right side
    9,215.60x = 87,306,753.03
  5. Step 5: Solve for x
    x = 87,306,753.03/9,215.60
  6. Step 6: Final answer
    x = 9,473.80

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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.