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Finding the Fourth Proportional to 9,394.32, 12,964.16 and 5,202.57

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Solution

The fourth proportional to 9,394.32, 12,964.16 and 5,202.57 is: 7,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.32 : 12,964.16 = 5,202.57 : x
  2. Step 2: Convert to fraction form
    9,394.32/12,964.16 = 5,202.57/x
  3. Step 3: Cross multiply
    9,394.32x = 12,964.16 × 5,202.57
  4. Step 4: Simplify right side
    9,394.32x = 67,446,949.89
  5. Step 5: Solve for x
    x = 67,446,949.89/9,394.32
  6. Step 6: Final answer
    x = 7,179.55

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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.