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Finding the Fourth Proportional to 6,474.86, 9,717.59 and 3,355.80

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Solution

The fourth proportional to 6,474.86, 9,717.59 and 3,355.80 is: 5,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.86 : 9,717.59 = 3,355.80 : x
  2. Step 2: Convert to fraction form
    6,474.86/9,717.59 = 3,355.80/x
  3. Step 3: Cross multiply
    6,474.86x = 9,717.59 × 3,355.80
  4. Step 4: Simplify right side
    6,474.86x = 32,610,288.52
  5. Step 5: Solve for x
    x = 32,610,288.52/6,474.86
  6. Step 6: Final answer
    x = 5,036.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.