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Finding the Fourth Proportional to 6,957.01, 9,605.15 and 6,209.70

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Solution

The fourth proportional to 6,957.01, 9,605.15 and 6,209.70 is: 8,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.01 : 9,605.15 = 6,209.70 : x
  2. Step 2: Convert to fraction form
    6,957.01/9,605.15 = 6,209.70/x
  3. Step 3: Cross multiply
    6,957.01x = 9,605.15 × 6,209.70
  4. Step 4: Simplify right side
    6,957.01x = 59,645,099.96
  5. Step 5: Solve for x
    x = 59,645,099.96/6,957.01
  6. Step 6: Final answer
    x = 8,573.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.