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Finding the Fourth Proportional to 9,000.19, 13,509.69 and 4,324.20

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Solution

The fourth proportional to 9,000.19, 13,509.69 and 4,324.20 is: 6,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.19 : 13,509.69 = 4,324.20 : x
  2. Step 2: Convert to fraction form
    9,000.19/13,509.69 = 4,324.20/x
  3. Step 3: Cross multiply
    9,000.19x = 13,509.69 × 4,324.20
  4. Step 4: Simplify right side
    9,000.19x = 58,418,601.50
  5. Step 5: Solve for x
    x = 58,418,601.50/9,000.19
  6. Step 6: Final answer
    x = 6,490.82

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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.