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Finding the Fourth Proportional to 9,752.84, 13,448.52 and 7,862.42

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Solution

The fourth proportional to 9,752.84, 13,448.52 and 7,862.42 is: 10,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.84 : 13,448.52 = 7,862.42 : x
  2. Step 2: Convert to fraction form
    9,752.84/13,448.52 = 7,862.42/x
  3. Step 3: Cross multiply
    9,752.84x = 13,448.52 × 7,862.42
  4. Step 4: Simplify right side
    9,752.84x = 105,737,912.62
  5. Step 5: Solve for x
    x = 105,737,912.62/9,752.84
  6. Step 6: Final answer
    x = 10,841.76

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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.