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Finding the Fourth Proportional to 6,128.88, 9,187.56 and 3,387.12

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Solution

The fourth proportional to 6,128.88, 9,187.56 and 3,387.12 is: 5,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.88 : 9,187.56 = 3,387.12 : x
  2. Step 2: Convert to fraction form
    6,128.88/9,187.56 = 3,387.12/x
  3. Step 3: Cross multiply
    6,128.88x = 9,187.56 × 3,387.12
  4. Step 4: Simplify right side
    6,128.88x = 31,119,368.23
  5. Step 5: Solve for x
    x = 31,119,368.23/6,128.88
  6. Step 6: Final answer
    x = 5,077.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.