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Finding the Fourth Proportional to 9,412.38, 14,113.04 and 3,569.40

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Solution

The fourth proportional to 9,412.38, 14,113.04 and 3,569.40 is: 5,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.38 : 14,113.04 = 3,569.40 : x
  2. Step 2: Convert to fraction form
    9,412.38/14,113.04 = 3,569.40/x
  3. Step 3: Cross multiply
    9,412.38x = 14,113.04 × 3,569.40
  4. Step 4: Simplify right side
    9,412.38x = 50,375,067.13
  5. Step 5: Solve for x
    x = 50,375,067.13/9,412.38
  6. Step 6: Final answer
    x = 5,352.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.