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Finding the Fourth Proportional to 6,046.32, 9,070.12 and 2,966

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Solution

The fourth proportional to 6,046.32, 9,070.12 and 2,966 is: 4,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.32 : 9,070.12 = 2,966 : x
  2. Step 2: Convert to fraction form
    6,046.32/9,070.12 = 2,966/x
  3. Step 3: Cross multiply
    6,046.32x = 9,070.12 × 2,966
  4. Step 4: Simplify right side
    6,046.32x = 26,901,975.92
  5. Step 5: Solve for x
    x = 26,901,975.92/6,046.32
  6. Step 6: Final answer
    x = 4,449.31

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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.