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Finding the Fourth Proportional to 9,752.40, 13,448.52 and 5,773.68

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Solution

The fourth proportional to 9,752.40, 13,448.52 and 5,773.68 is: 7,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.40 : 13,448.52 = 5,773.68 : x
  2. Step 2: Convert to fraction form
    9,752.40/13,448.52 = 5,773.68/x
  3. Step 3: Cross multiply
    9,752.40x = 13,448.52 × 5,773.68
  4. Step 4: Simplify right side
    9,752.40x = 77,647,450.95
  5. Step 5: Solve for x
    x = 77,647,450.95/9,752.40
  6. Step 6: Final answer
    x = 7,961.88

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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.