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Finding the Fourth Proportional to 9,215.66, 12,707.57 and 6,226.31

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Solution

The fourth proportional to 9,215.66, 12,707.57 and 6,226.31 is: 8,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.66 : 12,707.57 = 6,226.31 : x
  2. Step 2: Convert to fraction form
    9,215.66/12,707.57 = 6,226.31/x
  3. Step 3: Cross multiply
    9,215.66x = 12,707.57 × 6,226.31
  4. Step 4: Simplify right side
    9,215.66x = 79,121,317.50
  5. Step 5: Solve for x
    x = 79,121,317.50/9,215.66
  6. Step 6: Final answer
    x = 8,585.53

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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.