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Finding the Fourth Proportional to 6,147.19, 9,220.82 and 1,530.19

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Solution

The fourth proportional to 6,147.19, 9,220.82 and 1,530.19 is: 2,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.19 : 9,220.82 = 1,530.19 : x
  2. Step 2: Convert to fraction form
    6,147.19/9,220.82 = 1,530.19/x
  3. Step 3: Cross multiply
    6,147.19x = 9,220.82 × 1,530.19
  4. Step 4: Simplify right side
    6,147.19x = 14,109,575.85
  5. Step 5: Solve for x
    x = 14,109,575.85/6,147.19
  6. Step 6: Final answer
    x = 2,295.29

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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.