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Finding the Fourth Proportional to 6,269.74, 9,398.53 and 2,319.87

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Solution

The fourth proportional to 6,269.74, 9,398.53 and 2,319.87 is: 3,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.74 : 9,398.53 = 2,319.87 : x
  2. Step 2: Convert to fraction form
    6,269.74/9,398.53 = 2,319.87/x
  3. Step 3: Cross multiply
    6,269.74x = 9,398.53 × 2,319.87
  4. Step 4: Simplify right side
    6,269.74x = 21,803,405.94
  5. Step 5: Solve for x
    x = 21,803,405.94/6,269.74
  6. Step 6: Final answer
    x = 3,477.56

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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.