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Finding the Fourth Proportional to 9,078.62, 13,618.62 and 3,529.58

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Solution

The fourth proportional to 9,078.62, 13,618.62 and 3,529.58 is: 5,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.62 : 13,618.62 = 3,529.58 : x
  2. Step 2: Convert to fraction form
    9,078.62/13,618.62 = 3,529.58/x
  3. Step 3: Cross multiply
    9,078.62x = 13,618.62 × 3,529.58
  4. Step 4: Simplify right side
    9,078.62x = 48,068,008.78
  5. Step 5: Solve for x
    x = 48,068,008.78/9,078.62
  6. Step 6: Final answer
    x = 5,294.64

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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.