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Finding the Fourth Proportional to 6,385.73, 8,809.23 and 4,117.93

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Solution

The fourth proportional to 6,385.73, 8,809.23 and 4,117.93 is: 5,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.73 : 8,809.23 = 4,117.93 : x
  2. Step 2: Convert to fraction form
    6,385.73/8,809.23 = 4,117.93/x
  3. Step 3: Cross multiply
    6,385.73x = 8,809.23 × 4,117.93
  4. Step 4: Simplify right side
    6,385.73x = 36,275,792.49
  5. Step 5: Solve for x
    x = 36,275,792.49/6,385.73
  6. Step 6: Final answer
    x = 5,680.76

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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.