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Finding the Fourth Proportional to 6,373.34, 9,559.74 and 2,214.29

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Solution

The fourth proportional to 6,373.34, 9,559.74 and 2,214.29 is: 3,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.34 : 9,559.74 = 2,214.29 : x
  2. Step 2: Convert to fraction form
    6,373.34/9,559.74 = 2,214.29/x
  3. Step 3: Cross multiply
    6,373.34x = 9,559.74 × 2,214.29
  4. Step 4: Simplify right side
    6,373.34x = 21,167,988.89
  5. Step 5: Solve for x
    x = 21,167,988.89/6,373.34
  6. Step 6: Final answer
    x = 3,321.34

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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.