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Finding the Fourth Proportional to 28,259, 42,407.94 and 9,791

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Solution

The fourth proportional to 28,259, 42,407.94 and 9,791 is: 14,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,259 : 42,407.94 = 9,791 : x
  2. Step 2: Convert to fraction form
    28,259/42,407.94 = 9,791/x
  3. Step 3: Cross multiply
    28,259x = 42,407.94 × 9,791
  4. Step 4: Simplify right side
    28,259x = 415,216,140.54
  5. Step 5: Solve for x
    x = 415,216,140.54/28,259
  6. Step 6: Final answer
    x = 14,693.24

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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.