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Finding the Fourth Proportional to 9,452.74, 13,046.40 and 5,476.30

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Solution

The fourth proportional to 9,452.74, 13,046.40 and 5,476.30 is: 7,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.74 : 13,046.40 = 5,476.30 : x
  2. Step 2: Convert to fraction form
    9,452.74/13,046.40 = 5,476.30/x
  3. Step 3: Cross multiply
    9,452.74x = 13,046.40 × 5,476.30
  4. Step 4: Simplify right side
    9,452.74x = 71,446,000.32
  5. Step 5: Solve for x
    x = 71,446,000.32/9,452.74
  6. Step 6: Final answer
    x = 7,558.23

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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.