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Finding the Fourth Proportional to 6,986.41, 9,640.74 and 4,153.66

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Solution

The fourth proportional to 6,986.41, 9,640.74 and 4,153.66 is: 5,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.41 : 9,640.74 = 4,153.66 : x
  2. Step 2: Convert to fraction form
    6,986.41/9,640.74 = 4,153.66/x
  3. Step 3: Cross multiply
    6,986.41x = 9,640.74 × 4,153.66
  4. Step 4: Simplify right side
    6,986.41x = 40,044,356.11
  5. Step 5: Solve for x
    x = 40,044,356.11/6,986.41
  6. Step 6: Final answer
    x = 5,731.75

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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.