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Finding the Fourth Proportional to 6,334.90, 8,746.79 and 4,098.09

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Solution

The fourth proportional to 6,334.90, 8,746.79 and 4,098.09 is: 5,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.90 : 8,746.79 = 4,098.09 : x
  2. Step 2: Convert to fraction form
    6,334.90/8,746.79 = 4,098.09/x
  3. Step 3: Cross multiply
    6,334.90x = 8,746.79 × 4,098.09
  4. Step 4: Simplify right side
    6,334.90x = 35,845,099.14
  5. Step 5: Solve for x
    x = 35,845,099.14/6,334.90
  6. Step 6: Final answer
    x = 5,658.35

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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.