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Finding the Fourth Proportional to 9,299.04, 12,832.20 and 5,106.48

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Solution

The fourth proportional to 9,299.04, 12,832.20 and 5,106.48 is: 7,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.04 : 12,832.20 = 5,106.48 : x
  2. Step 2: Convert to fraction form
    9,299.04/12,832.20 = 5,106.48/x
  3. Step 3: Cross multiply
    9,299.04x = 12,832.20 × 5,106.48
  4. Step 4: Simplify right side
    9,299.04x = 65,527,372.66
  5. Step 5: Solve for x
    x = 65,527,372.66/9,299.04
  6. Step 6: Final answer
    x = 7,046.68

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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.