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Finding the Fourth Proportional to 9,309.30, 12,847.06 and 5,331.66

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Solution

The fourth proportional to 9,309.30, 12,847.06 and 5,331.66 is: 7,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.30 : 12,847.06 = 5,331.66 : x
  2. Step 2: Convert to fraction form
    9,309.30/12,847.06 = 5,331.66/x
  3. Step 3: Cross multiply
    9,309.30x = 12,847.06 × 5,331.66
  4. Step 4: Simplify right side
    9,309.30x = 68,496,155.92
  5. Step 5: Solve for x
    x = 68,496,155.92/9,309.30
  6. Step 6: Final answer
    x = 7,357.82

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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.