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Finding the Fourth Proportional to 6,701.20, 10,051.80 and 6,269.20

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Solution

The fourth proportional to 6,701.20, 10,051.80 and 6,269.20 is: 9,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.20 : 10,051.80 = 6,269.20 : x
  2. Step 2: Convert to fraction form
    6,701.20/10,051.80 = 6,269.20/x
  3. Step 3: Cross multiply
    6,701.20x = 10,051.80 × 6,269.20
  4. Step 4: Simplify right side
    6,701.20x = 63,016,744.56
  5. Step 5: Solve for x
    x = 63,016,744.56/6,701.20
  6. Step 6: Final answer
    x = 9,403.80

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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.