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Finding the Fourth Proportional to 9,048.97, 13,635.10 and 7,441.53

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Solution

The fourth proportional to 9,048.97, 13,635.10 and 7,441.53 is: 11,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.97 : 13,635.10 = 7,441.53 : x
  2. Step 2: Convert to fraction form
    9,048.97/13,635.10 = 7,441.53/x
  3. Step 3: Cross multiply
    9,048.97x = 13,635.10 × 7,441.53
  4. Step 4: Simplify right side
    9,048.97x = 101,466,005.70
  5. Step 5: Solve for x
    x = 101,466,005.70/9,048.97
  6. Step 6: Final answer
    x = 11,212.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.