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Finding the Fourth Proportional to 6,400.42, 8,833.71 and 5,084.17

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Solution

The fourth proportional to 6,400.42, 8,833.71 and 5,084.17 is: 7,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.42 : 8,833.71 = 5,084.17 : x
  2. Step 2: Convert to fraction form
    6,400.42/8,833.71 = 5,084.17/x
  3. Step 3: Cross multiply
    6,400.42x = 8,833.71 × 5,084.17
  4. Step 4: Simplify right side
    6,400.42x = 44,912,083.37
  5. Step 5: Solve for x
    x = 44,912,083.37/6,400.42
  6. Step 6: Final answer
    x = 7,017.05

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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.