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Finding the Fourth Proportional to 9,394.32, 12,963.42 and 5,412.78

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Solution

The fourth proportional to 9,394.32, 12,963.42 and 5,412.78 is: 7,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.32 : 12,963.42 = 5,412.78 : x
  2. Step 2: Convert to fraction form
    9,394.32/12,963.42 = 5,412.78/x
  3. Step 3: Cross multiply
    9,394.32x = 12,963.42 × 5,412.78
  4. Step 4: Simplify right side
    9,394.32x = 70,168,140.51
  5. Step 5: Solve for x
    x = 70,168,140.51/9,394.32
  6. Step 6: Final answer
    x = 7,469.21

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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.