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Finding the Fourth Proportional to 6,214.88, 9,322.35 and 2,319.25

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Solution

The fourth proportional to 6,214.88, 9,322.35 and 2,319.25 is: 3,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.88 : 9,322.35 = 2,319.25 : x
  2. Step 2: Convert to fraction form
    6,214.88/9,322.35 = 2,319.25/x
  3. Step 3: Cross multiply
    6,214.88x = 9,322.35 × 2,319.25
  4. Step 4: Simplify right side
    6,214.88x = 21,620,860.24
  5. Step 5: Solve for x
    x = 21,620,860.24/6,214.88
  6. Step 6: Final answer
    x = 3,478.89

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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.