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Finding the Fourth Proportional to 6,414.12, 8,841.96 and 5,088.15

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Solution

The fourth proportional to 6,414.12, 8,841.96 and 5,088.15 is: 7,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.12 : 8,841.96 = 5,088.15 : x
  2. Step 2: Convert to fraction form
    6,414.12/8,841.96 = 5,088.15/x
  3. Step 3: Cross multiply
    6,414.12x = 8,841.96 × 5,088.15
  4. Step 4: Simplify right side
    6,414.12x = 44,989,218.77
  5. Step 5: Solve for x
    x = 44,989,218.77/6,414.12
  6. Step 6: Final answer
    x = 7,014.09

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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.