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Finding the Fourth Proportional to 9,394.32, 12,965.04 and 5,203.92

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Solution

The fourth proportional to 9,394.32, 12,965.04 and 5,203.92 is: 7,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.32 : 12,965.04 = 5,203.92 : x
  2. Step 2: Convert to fraction form
    9,394.32/12,965.04 = 5,203.92/x
  3. Step 3: Cross multiply
    9,394.32x = 12,965.04 × 5,203.92
  4. Step 4: Simplify right side
    9,394.32x = 67,469,030.96
  5. Step 5: Solve for x
    x = 67,469,030.96/9,394.32
  6. Step 6: Final answer
    x = 7,181.90

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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.