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Finding the Fourth Proportional to 4,129.37, 6,194.03 and 1,009.39

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Solution

The fourth proportional to 4,129.37, 6,194.03 and 1,009.39 is: 1,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.37 : 6,194.03 = 1,009.39 : x
  2. Step 2: Convert to fraction form
    4,129.37/6,194.03 = 1,009.39/x
  3. Step 3: Cross multiply
    4,129.37x = 6,194.03 × 1,009.39
  4. Step 4: Simplify right side
    4,129.37x = 6,252,194.47
  5. Step 5: Solve for x
    x = 6,252,194.47/4,129.37
  6. Step 6: Final answer
    x = 1,514.08

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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.