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Finding the Fourth Proportional to 6,454.14, 8,910.94 and 4,470.78

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Solution

The fourth proportional to 6,454.14, 8,910.94 and 4,470.78 is: 6,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.14 : 8,910.94 = 4,470.78 : x
  2. Step 2: Convert to fraction form
    6,454.14/8,910.94 = 4,470.78/x
  3. Step 3: Cross multiply
    6,454.14x = 8,910.94 × 4,470.78
  4. Step 4: Simplify right side
    6,454.14x = 39,838,852.33
  5. Step 5: Solve for x
    x = 39,838,852.33/6,454.14
  6. Step 6: Final answer
    x = 6,172.60

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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.