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Finding the Fourth Proportional to 6,499.42, 8,972.04 and 4,144.66

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Solution

The fourth proportional to 6,499.42, 8,972.04 and 4,144.66 is: 5,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.42 : 8,972.04 = 4,144.66 : x
  2. Step 2: Convert to fraction form
    6,499.42/8,972.04 = 4,144.66/x
  3. Step 3: Cross multiply
    6,499.42x = 8,972.04 × 4,144.66
  4. Step 4: Simplify right side
    6,499.42x = 37,186,055.31
  5. Step 5: Solve for x
    x = 37,186,055.31/6,499.42
  6. Step 6: Final answer
    x = 5,721.44

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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.