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Finding the Fourth Proportional to 6,218.34, 9,322.86 and 3,752.58

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Solution

The fourth proportional to 6,218.34, 9,322.86 and 3,752.58 is: 5,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.34 : 9,322.86 = 3,752.58 : x
  2. Step 2: Convert to fraction form
    6,218.34/9,322.86 = 3,752.58/x
  3. Step 3: Cross multiply
    6,218.34x = 9,322.86 × 3,752.58
  4. Step 4: Simplify right side
    6,218.34x = 34,984,805.86
  5. Step 5: Solve for x
    x = 34,984,805.86/6,218.34
  6. Step 6: Final answer
    x = 5,626.07

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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.