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Finding the Fourth Proportional to 6,436.17, 8,877.33 and 5,906.77

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Solution

The fourth proportional to 6,436.17, 8,877.33 and 5,906.77 is: 8,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.17 : 8,877.33 = 5,906.77 : x
  2. Step 2: Convert to fraction form
    6,436.17/8,877.33 = 5,906.77/x
  3. Step 3: Cross multiply
    6,436.17x = 8,877.33 × 5,906.77
  4. Step 4: Simplify right side
    6,436.17x = 52,436,313.21
  5. Step 5: Solve for x
    x = 52,436,313.21/6,436.17
  6. Step 6: Final answer
    x = 8,147.13

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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.