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Finding the Fourth Proportional to 9,208.17, 12,708.92 and 5,431.11

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Solution

The fourth proportional to 9,208.17, 12,708.92 and 5,431.11 is: 7,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.17 : 12,708.92 = 5,431.11 : x
  2. Step 2: Convert to fraction form
    9,208.17/12,708.92 = 5,431.11/x
  3. Step 3: Cross multiply
    9,208.17x = 12,708.92 × 5,431.11
  4. Step 4: Simplify right side
    9,208.17x = 69,023,515.35
  5. Step 5: Solve for x
    x = 69,023,515.35/9,208.17
  6. Step 6: Final answer
    x = 7,495.90

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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.