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Finding the Fourth Proportional to 6,470.79, 9,644.67 and 6,101.73

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Solution

The fourth proportional to 6,470.79, 9,644.67 and 6,101.73 is: 9,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.79 : 9,644.67 = 6,101.73 : x
  2. Step 2: Convert to fraction form
    6,470.79/9,644.67 = 6,101.73/x
  3. Step 3: Cross multiply
    6,470.79x = 9,644.67 × 6,101.73
  4. Step 4: Simplify right side
    6,470.79x = 58,849,172.28
  5. Step 5: Solve for x
    x = 58,849,172.28/6,470.79
  6. Step 6: Final answer
    x = 9,094.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.