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Finding the Fourth Proportional to 9,208.42, 12,707.15 and 5,229.02

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Solution

The fourth proportional to 9,208.42, 12,707.15 and 5,229.02 is: 7,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.42 : 12,707.15 = 5,229.02 : x
  2. Step 2: Convert to fraction form
    9,208.42/12,707.15 = 5,229.02/x
  3. Step 3: Cross multiply
    9,208.42x = 12,707.15 × 5,229.02
  4. Step 4: Simplify right side
    9,208.42x = 66,445,947.12
  5. Step 5: Solve for x
    x = 66,445,947.12/9,208.42
  6. Step 6: Final answer
    x = 7,215.78

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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.