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Finding the Fourth Proportional to 28,191.78, 42,284.43 and 9,471.06

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Solution

The fourth proportional to 28,191.78, 42,284.43 and 9,471.06 is: 14,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,191.78 : 42,284.43 = 9,471.06 : x
  2. Step 2: Convert to fraction form
    28,191.78/42,284.43 = 9,471.06/x
  3. Step 3: Cross multiply
    28,191.78x = 42,284.43 × 9,471.06
  4. Step 4: Simplify right side
    28,191.78x = 400,478,373.60
  5. Step 5: Solve for x
    x = 400,478,373.60/28,191.78
  6. Step 6: Final answer
    x = 14,205.50

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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.