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Finding the Fourth Proportional to 6,957.80, 10,407.90 and 6,266.60

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Solution

The fourth proportional to 6,957.80, 10,407.90 and 6,266.60 is: 9,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.80 : 10,407.90 = 6,266.60 : x
  2. Step 2: Convert to fraction form
    6,957.80/10,407.90 = 6,266.60/x
  3. Step 3: Cross multiply
    6,957.80x = 10,407.90 × 6,266.60
  4. Step 4: Simplify right side
    6,957.80x = 65,222,146.14
  5. Step 5: Solve for x
    x = 65,222,146.14/6,957.80
  6. Step 6: Final answer
    x = 9,373.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.