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Finding the Fourth Proportional to 6,337.69, 8,746.94 and 3,686.56

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Solution

The fourth proportional to 6,337.69, 8,746.94 and 3,686.56 is: 5,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.69 : 8,746.94 = 3,686.56 : x
  2. Step 2: Convert to fraction form
    6,337.69/8,746.94 = 3,686.56/x
  3. Step 3: Cross multiply
    6,337.69x = 8,746.94 × 3,686.56
  4. Step 4: Simplify right side
    6,337.69x = 32,246,134.94
  5. Step 5: Solve for x
    x = 32,246,134.94/6,337.69
  6. Step 6: Final answer
    x = 5,087.99

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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.