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Finding the Fourth Proportional to 6,336.84, 9,506.33 and 2,175.77

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Solution

The fourth proportional to 6,336.84, 9,506.33 and 2,175.77 is: 3,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.84 : 9,506.33 = 2,175.77 : x
  2. Step 2: Convert to fraction form
    6,336.84/9,506.33 = 2,175.77/x
  3. Step 3: Cross multiply
    6,336.84x = 9,506.33 × 2,175.77
  4. Step 4: Simplify right side
    6,336.84x = 20,683,587.62
  5. Step 5: Solve for x
    x = 20,683,587.62/6,336.84
  6. Step 6: Final answer
    x = 3,264.02

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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.