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Finding the Fourth Proportional to 6,657.34, 9,187.57 and 3,825.63

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Solution

The fourth proportional to 6,657.34, 9,187.57 and 3,825.63 is: 5,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.34 : 9,187.57 = 3,825.63 : x
  2. Step 2: Convert to fraction form
    6,657.34/9,187.57 = 3,825.63/x
  3. Step 3: Cross multiply
    6,657.34x = 9,187.57 × 3,825.63
  4. Step 4: Simplify right side
    6,657.34x = 35,148,282.65
  5. Step 5: Solve for x
    x = 35,148,282.65/6,657.34
  6. Step 6: Final answer
    x = 5,279.63

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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.