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Finding the Fourth Proportional to 9,356.20, 14,026.84 and 5,402.97

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Solution

The fourth proportional to 9,356.20, 14,026.84 and 5,402.97 is: 8,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.20 : 14,026.84 = 5,402.97 : x
  2. Step 2: Convert to fraction form
    9,356.20/14,026.84 = 5,402.97/x
  3. Step 3: Cross multiply
    9,356.20x = 14,026.84 × 5,402.97
  4. Step 4: Simplify right side
    9,356.20x = 75,786,498.57
  5. Step 5: Solve for x
    x = 75,786,498.57/9,356.20
  6. Step 6: Final answer
    x = 8,100.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.