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Finding the Fourth Proportional to 6,077.61, 9,116.42 and 4,006.86

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Solution

The fourth proportional to 6,077.61, 9,116.42 and 4,006.86 is: 6,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.61 : 9,116.42 = 4,006.86 : x
  2. Step 2: Convert to fraction form
    6,077.61/9,116.42 = 4,006.86/x
  3. Step 3: Cross multiply
    6,077.61x = 9,116.42 × 4,006.86
  4. Step 4: Simplify right side
    6,077.61x = 36,528,249.51
  5. Step 5: Solve for x
    x = 36,528,249.51/6,077.61
  6. Step 6: Final answer
    x = 6,010.30

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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.