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Finding the Fourth Proportional to 6,963.18, 9,602.19 and 4,170.30

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Solution

The fourth proportional to 6,963.18, 9,602.19 and 4,170.30 is: 5,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.18 : 9,602.19 = 4,170.30 : x
  2. Step 2: Convert to fraction form
    6,963.18/9,602.19 = 4,170.30/x
  3. Step 3: Cross multiply
    6,963.18x = 9,602.19 × 4,170.30
  4. Step 4: Simplify right side
    6,963.18x = 40,044,012.96
  5. Step 5: Solve for x
    x = 40,044,012.96/6,963.18
  6. Step 6: Final answer
    x = 5,750.82

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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.