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Finding the Fourth Proportional to 6,077.07, 9,109.13 and 4,340.43

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Solution

The fourth proportional to 6,077.07, 9,109.13 and 4,340.43 is: 6,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.07 : 9,109.13 = 4,340.43 : x
  2. Step 2: Convert to fraction form
    6,077.07/9,109.13 = 4,340.43/x
  3. Step 3: Cross multiply
    6,077.07x = 9,109.13 × 4,340.43
  4. Step 4: Simplify right side
    6,077.07x = 39,537,519.42
  5. Step 5: Solve for x
    x = 39,537,519.42/6,077.07
  6. Step 6: Final answer
    x = 6,506.02

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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.