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Finding the Fourth Proportional to 9,642.33, 13,306.24 and 5,450.58

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Solution

The fourth proportional to 9,642.33, 13,306.24 and 5,450.58 is: 7,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.33 : 13,306.24 = 5,450.58 : x
  2. Step 2: Convert to fraction form
    9,642.33/13,306.24 = 5,450.58/x
  3. Step 3: Cross multiply
    9,642.33x = 13,306.24 × 5,450.58
  4. Step 4: Simplify right side
    9,642.33x = 72,526,725.62
  5. Step 5: Solve for x
    x = 72,526,725.62/9,642.33
  6. Step 6: Final answer
    x = 7,521.70

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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.