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Finding the Fourth Proportional to 6,077.19, 9,115.78 and 1,973.19

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Solution

The fourth proportional to 6,077.19, 9,115.78 and 1,973.19 is: 2,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.19 : 9,115.78 = 1,973.19 : x
  2. Step 2: Convert to fraction form
    6,077.19/9,115.78 = 1,973.19/x
  3. Step 3: Cross multiply
    6,077.19x = 9,115.78 × 1,973.19
  4. Step 4: Simplify right side
    6,077.19x = 17,987,165.94
  5. Step 5: Solve for x
    x = 17,987,165.94/6,077.19
  6. Step 6: Final answer
    x = 2,959.78

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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.