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Finding the Fourth Proportional to 6,705.72, 9,255.63 and 4,186.25

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Solution

The fourth proportional to 6,705.72, 9,255.63 and 4,186.25 is: 5,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.72 : 9,255.63 = 4,186.25 : x
  2. Step 2: Convert to fraction form
    6,705.72/9,255.63 = 4,186.25/x
  3. Step 3: Cross multiply
    6,705.72x = 9,255.63 × 4,186.25
  4. Step 4: Simplify right side
    6,705.72x = 38,746,385.22
  5. Step 5: Solve for x
    x = 38,746,385.22/6,705.72
  6. Step 6: Final answer
    x = 5,778.11

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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.