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Finding the Fourth Proportional to 7,033.66, 9,696.43 and 4,792.66

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Solution

The fourth proportional to 7,033.66, 9,696.43 and 4,792.66 is: 6,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.66 : 9,696.43 = 4,792.66 : x
  2. Step 2: Convert to fraction form
    7,033.66/9,696.43 = 4,792.66/x
  3. Step 3: Cross multiply
    7,033.66x = 9,696.43 × 4,792.66
  4. Step 4: Simplify right side
    7,033.66x = 46,471,692.20
  5. Step 5: Solve for x
    x = 46,471,692.20/7,033.66
  6. Step 6: Final answer
    x = 6,607.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.