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Finding the Fourth Proportional to 9,137.74, 13,696.98 and 5,184.04

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Solution

The fourth proportional to 9,137.74, 13,696.98 and 5,184.04 is: 7,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.74 : 13,696.98 = 5,184.04 : x
  2. Step 2: Convert to fraction form
    9,137.74/13,696.98 = 5,184.04/x
  3. Step 3: Cross multiply
    9,137.74x = 13,696.98 × 5,184.04
  4. Step 4: Simplify right side
    9,137.74x = 71,005,692.20
  5. Step 5: Solve for x
    x = 71,005,692.20/9,137.74
  6. Step 6: Final answer
    x = 7,770.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.