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Finding the Fourth Proportional to 6,339.14, 8,747.54 and 3,506.54

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Solution

The fourth proportional to 6,339.14, 8,747.54 and 3,506.54 is: 4,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.14 : 8,747.54 = 3,506.54 : x
  2. Step 2: Convert to fraction form
    6,339.14/8,747.54 = 3,506.54/x
  3. Step 3: Cross multiply
    6,339.14x = 8,747.54 × 3,506.54
  4. Step 4: Simplify right side
    6,339.14x = 30,673,603.25
  5. Step 5: Solve for x
    x = 30,673,603.25/6,339.14
  6. Step 6: Final answer
    x = 4,838.77

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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.