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Finding the Fourth Proportional to 9,285.74, 12,814.17 and 5,093.90

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Solution

The fourth proportional to 9,285.74, 12,814.17 and 5,093.90 is: 7,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.74 : 12,814.17 = 5,093.90 : x
  2. Step 2: Convert to fraction form
    9,285.74/12,814.17 = 5,093.90/x
  3. Step 3: Cross multiply
    9,285.74x = 12,814.17 × 5,093.90
  4. Step 4: Simplify right side
    9,285.74x = 65,274,113.50
  5. Step 5: Solve for x
    x = 65,274,113.50/9,285.74
  6. Step 6: Final answer
    x = 7,029.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.