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Finding the Fourth Proportional to 9,574.32, 14,351.20 and 3,648.36

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Solution

The fourth proportional to 9,574.32, 14,351.20 and 3,648.36 is: 5,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.32 : 14,351.20 = 3,648.36 : x
  2. Step 2: Convert to fraction form
    9,574.32/14,351.20 = 3,648.36/x
  3. Step 3: Cross multiply
    9,574.32x = 14,351.20 × 3,648.36
  4. Step 4: Simplify right side
    9,574.32x = 52,358,344.03
  5. Step 5: Solve for x
    x = 52,358,344.03/9,574.32
  6. Step 6: Final answer
    x = 5,468.62

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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.