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Finding the Fourth Proportional to 6,874.41, 9,486.16 and 4,041.90

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Solution

The fourth proportional to 6,874.41, 9,486.16 and 4,041.90 is: 5,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.41 : 9,486.16 = 4,041.90 : x
  2. Step 2: Convert to fraction form
    6,874.41/9,486.16 = 4,041.90/x
  3. Step 3: Cross multiply
    6,874.41x = 9,486.16 × 4,041.90
  4. Step 4: Simplify right side
    6,874.41x = 38,342,110.10
  5. Step 5: Solve for x
    x = 38,342,110.10/6,874.41
  6. Step 6: Final answer
    x = 5,577.51

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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.