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Finding the Fourth Proportional to 6,565.37, 9,060.26 and 3,876.63

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Solution

The fourth proportional to 6,565.37, 9,060.26 and 3,876.63 is: 5,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.37 : 9,060.26 = 3,876.63 : x
  2. Step 2: Convert to fraction form
    6,565.37/9,060.26 = 3,876.63/x
  3. Step 3: Cross multiply
    6,565.37x = 9,060.26 × 3,876.63
  4. Step 4: Simplify right side
    6,565.37x = 35,123,256.34
  5. Step 5: Solve for x
    x = 35,123,256.34/6,565.37
  6. Step 6: Final answer
    x = 5,349.78

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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.