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Finding the Fourth Proportional to 9,292.91, 13,938.02 and 3,053.17

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Solution

The fourth proportional to 9,292.91, 13,938.02 and 3,053.17 is: 4,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.91 : 13,938.02 = 3,053.17 : x
  2. Step 2: Convert to fraction form
    9,292.91/13,938.02 = 3,053.17/x
  3. Step 3: Cross multiply
    9,292.91x = 13,938.02 × 3,053.17
  4. Step 4: Simplify right side
    9,292.91x = 42,555,180.20
  5. Step 5: Solve for x
    x = 42,555,180.20/9,292.91
  6. Step 6: Final answer
    x = 4,579.32

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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.