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Finding the Fourth Proportional to 9,474.32, 13,073.98 and 5,225.42

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Solution

The fourth proportional to 9,474.32, 13,073.98 and 5,225.42 is: 7,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.32 : 13,073.98 = 5,225.42 : x
  2. Step 2: Convert to fraction form
    9,474.32/13,073.98 = 5,225.42/x
  3. Step 3: Cross multiply
    9,474.32x = 13,073.98 × 5,225.42
  4. Step 4: Simplify right side
    9,474.32x = 68,317,036.57
  5. Step 5: Solve for x
    x = 68,317,036.57/9,474.32
  6. Step 6: Final answer
    x = 7,210.76

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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.