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Finding the Fourth Proportional to 9,158.56, 12,639.74 and 5,573.78

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Solution

The fourth proportional to 9,158.56, 12,639.74 and 5,573.78 is: 7,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.56 : 12,639.74 = 5,573.78 : x
  2. Step 2: Convert to fraction form
    9,158.56/12,639.74 = 5,573.78/x
  3. Step 3: Cross multiply
    9,158.56x = 12,639.74 × 5,573.78
  4. Step 4: Simplify right side
    9,158.56x = 70,451,130.02
  5. Step 5: Solve for x
    x = 70,451,130.02/9,158.56
  6. Step 6: Final answer
    x = 7,692.38

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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.