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Finding the Fourth Proportional to 6,169.77, 8,514.72 and 4,070.25

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Solution

The fourth proportional to 6,169.77, 8,514.72 and 4,070.25 is: 5,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.77 : 8,514.72 = 4,070.25 : x
  2. Step 2: Convert to fraction form
    6,169.77/8,514.72 = 4,070.25/x
  3. Step 3: Cross multiply
    6,169.77x = 8,514.72 × 4,070.25
  4. Step 4: Simplify right side
    6,169.77x = 34,657,039.08
  5. Step 5: Solve for x
    x = 34,657,039.08/6,169.77
  6. Step 6: Final answer
    x = 5,617.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.