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Finding the Fourth Proportional to 6,874.06, 9,485.62 and 4,041.53

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Solution

The fourth proportional to 6,874.06, 9,485.62 and 4,041.53 is: 5,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.06 : 9,485.62 = 4,041.53 : x
  2. Step 2: Convert to fraction form
    6,874.06/9,485.62 = 4,041.53/x
  3. Step 3: Cross multiply
    6,874.06x = 9,485.62 × 4,041.53
  4. Step 4: Simplify right side
    6,874.06x = 38,336,417.80
  5. Step 5: Solve for x
    x = 38,336,417.80/6,874.06
  6. Step 6: Final answer
    x = 5,576.97

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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.