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Finding the Fourth Proportional to 6,657.47, 9,187.75 and 3,825.76

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Solution

The fourth proportional to 6,657.47, 9,187.75 and 3,825.76 is: 5,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.47 : 9,187.75 = 3,825.76 : x
  2. Step 2: Convert to fraction form
    6,657.47/9,187.75 = 3,825.76/x
  3. Step 3: Cross multiply
    6,657.47x = 9,187.75 × 3,825.76
  4. Step 4: Simplify right side
    6,657.47x = 35,150,061.37
  5. Step 5: Solve for x
    x = 35,150,061.37/6,657.47
  6. Step 6: Final answer
    x = 5,279.80

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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.