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Finding the Fourth Proportional to 9,004.84, 13,488.06 and 5,107.24

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Solution

The fourth proportional to 9,004.84, 13,488.06 and 5,107.24 is: 7,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.84 : 13,488.06 = 5,107.24 : x
  2. Step 2: Convert to fraction form
    9,004.84/13,488.06 = 5,107.24/x
  3. Step 3: Cross multiply
    9,004.84x = 13,488.06 × 5,107.24
  4. Step 4: Simplify right side
    9,004.84x = 68,886,759.55
  5. Step 5: Solve for x
    x = 68,886,759.55/9,004.84
  6. Step 6: Final answer
    x = 7,649.97

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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.