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Finding the Fourth Proportional to 6,845.47, 9,446.72 and 3,701.65

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Solution

The fourth proportional to 6,845.47, 9,446.72 and 3,701.65 is: 5,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.47 : 9,446.72 = 3,701.65 : x
  2. Step 2: Convert to fraction form
    6,845.47/9,446.72 = 3,701.65/x
  3. Step 3: Cross multiply
    6,845.47x = 9,446.72 × 3,701.65
  4. Step 4: Simplify right side
    6,845.47x = 34,968,432.58
  5. Step 5: Solve for x
    x = 34,968,432.58/6,845.47
  6. Step 6: Final answer
    x = 5,108.26

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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.