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Finding the Fourth Proportional to 28,227.52, 42,342.94 and 9,506

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Solution

The fourth proportional to 28,227.52, 42,342.94 and 9,506 is: 14,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,227.52 : 42,342.94 = 9,506 : x
  2. Step 2: Convert to fraction form
    28,227.52/42,342.94 = 9,506/x
  3. Step 3: Cross multiply
    28,227.52x = 42,342.94 × 9,506
  4. Step 4: Simplify right side
    28,227.52x = 402,511,987.64
  5. Step 5: Solve for x
    x = 402,511,987.64/28,227.52
  6. Step 6: Final answer
    x = 14,259.56

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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.