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Finding the Fourth Proportional to 9,219.52, 13,827.36 and 2,980.08

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Solution

The fourth proportional to 9,219.52, 13,827.36 and 2,980.08 is: 4,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.52 : 13,827.36 = 2,980.08 : x
  2. Step 2: Convert to fraction form
    9,219.52/13,827.36 = 2,980.08/x
  3. Step 3: Cross multiply
    9,219.52x = 13,827.36 × 2,980.08
  4. Step 4: Simplify right side
    9,219.52x = 41,206,638.99
  5. Step 5: Solve for x
    x = 41,206,638.99/9,219.52
  6. Step 6: Final answer
    x = 4,469.50

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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.