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Finding the Fourth Proportional to 6,046.40, 9,057.45 and 4,078.10

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Solution

The fourth proportional to 6,046.40, 9,057.45 and 4,078.10 is: 6,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.40 : 9,057.45 = 4,078.10 : x
  2. Step 2: Convert to fraction form
    6,046.40/9,057.45 = 4,078.10/x
  3. Step 3: Cross multiply
    6,046.40x = 9,057.45 × 4,078.10
  4. Step 4: Simplify right side
    6,046.40x = 36,937,186.85
  5. Step 5: Solve for x
    x = 36,937,186.85/6,046.40
  6. Step 6: Final answer
    x = 6,108.96

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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.