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Finding the Fourth Proportional to 6,700.32, 9,246.24 and 4,046.16

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Solution

The fourth proportional to 6,700.32, 9,246.24 and 4,046.16 is: 5,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.32 : 9,246.24 = 4,046.16 : x
  2. Step 2: Convert to fraction form
    6,700.32/9,246.24 = 4,046.16/x
  3. Step 3: Cross multiply
    6,700.32x = 9,246.24 × 4,046.16
  4. Step 4: Simplify right side
    6,700.32x = 37,411,766.44
  5. Step 5: Solve for x
    x = 37,411,766.44/6,700.32
  6. Step 6: Final answer
    x = 5,583.58

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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.