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Finding the Fourth Proportional to 9,005.49, 13,500.07 and 3,158.91

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Solution

The fourth proportional to 9,005.49, 13,500.07 and 3,158.91 is: 4,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.49 : 13,500.07 = 3,158.91 : x
  2. Step 2: Convert to fraction form
    9,005.49/13,500.07 = 3,158.91/x
  3. Step 3: Cross multiply
    9,005.49x = 13,500.07 × 3,158.91
  4. Step 4: Simplify right side
    9,005.49x = 42,645,498.23
  5. Step 5: Solve for x
    x = 42,645,498.23/9,005.49
  6. Step 6: Final answer
    x = 4,735.50

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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.