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Finding the Fourth Proportional to 6,159.86, 9,226.36 and 4,049.10

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Solution

The fourth proportional to 6,159.86, 9,226.36 and 4,049.10 is: 6,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.86 : 9,226.36 = 4,049.10 : x
  2. Step 2: Convert to fraction form
    6,159.86/9,226.36 = 4,049.10/x
  3. Step 3: Cross multiply
    6,159.86x = 9,226.36 × 4,049.10
  4. Step 4: Simplify right side
    6,159.86x = 37,358,431.21
  5. Step 5: Solve for x
    x = 37,358,431.21/6,159.86
  6. Step 6: Final answer
    x = 6,064.82

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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.