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Finding the Fourth Proportional to 6,207.22, 9,302.05 and 3,435.13

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Solution

The fourth proportional to 6,207.22, 9,302.05 and 3,435.13 is: 5,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.22 : 9,302.05 = 3,435.13 : x
  2. Step 2: Convert to fraction form
    6,207.22/9,302.05 = 3,435.13/x
  3. Step 3: Cross multiply
    6,207.22x = 9,302.05 × 3,435.13
  4. Step 4: Simplify right side
    6,207.22x = 31,953,751.02
  5. Step 5: Solve for x
    x = 31,953,751.02/6,207.22
  6. Step 6: Final answer
    x = 5,147.84

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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.