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Finding the Fourth Proportional to 6,139.12, 9,203.88 and 4,186.48

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Solution

The fourth proportional to 6,139.12, 9,203.88 and 4,186.48 is: 6,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.12 : 9,203.88 = 4,186.48 : x
  2. Step 2: Convert to fraction form
    6,139.12/9,203.88 = 4,186.48/x
  3. Step 3: Cross multiply
    6,139.12x = 9,203.88 × 4,186.48
  4. Step 4: Simplify right side
    6,139.12x = 38,531,859.54
  5. Step 5: Solve for x
    x = 38,531,859.54/6,139.12
  6. Step 6: Final answer
    x = 6,276.45

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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.