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Finding the Fourth Proportional to 9,049.52, 13,574.46 and 4,115.72

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Solution

The fourth proportional to 9,049.52, 13,574.46 and 4,115.72 is: 6,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.52 : 13,574.46 = 4,115.72 : x
  2. Step 2: Convert to fraction form
    9,049.52/13,574.46 = 4,115.72/x
  3. Step 3: Cross multiply
    9,049.52x = 13,574.46 × 4,115.72
  4. Step 4: Simplify right side
    9,049.52x = 55,868,676.51
  5. Step 5: Solve for x
    x = 55,868,676.51/9,049.52
  6. Step 6: Final answer
    x = 6,173.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.