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Finding the Fourth Proportional to 9,600.52, 14,404.22 and 3,027.08

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Solution

The fourth proportional to 9,600.52, 14,404.22 and 3,027.08 is: 4,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.52 : 14,404.22 = 3,027.08 : x
  2. Step 2: Convert to fraction form
    9,600.52/14,404.22 = 3,027.08/x
  3. Step 3: Cross multiply
    9,600.52x = 14,404.22 × 3,027.08
  4. Step 4: Simplify right side
    9,600.52x = 43,602,726.28
  5. Step 5: Solve for x
    x = 43,602,726.28/9,600.52
  6. Step 6: Final answer
    x = 4,541.70

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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.