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Finding the Fourth Proportional to 6,259.78, 9,382.92 and 4,070.08

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Solution

The fourth proportional to 6,259.78, 9,382.92 and 4,070.08 is: 6,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.78 : 9,382.92 = 4,070.08 : x
  2. Step 2: Convert to fraction form
    6,259.78/9,382.92 = 4,070.08/x
  3. Step 3: Cross multiply
    6,259.78x = 9,382.92 × 4,070.08
  4. Step 4: Simplify right side
    6,259.78x = 38,189,235.03
  5. Step 5: Solve for x
    x = 38,189,235.03/6,259.78
  6. Step 6: Final answer
    x = 6,100.73

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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.