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Finding the Fourth Proportional to 9,218.70, 13,823.19 and 4,018.50

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Solution

The fourth proportional to 9,218.70, 13,823.19 and 4,018.50 is: 6,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.70 : 13,823.19 = 4,018.50 : x
  2. Step 2: Convert to fraction form
    9,218.70/13,823.19 = 4,018.50/x
  3. Step 3: Cross multiply
    9,218.70x = 13,823.19 × 4,018.50
  4. Step 4: Simplify right side
    9,218.70x = 55,548,489.02
  5. Step 5: Solve for x
    x = 55,548,489.02/9,218.70
  6. Step 6: Final answer
    x = 6,025.63

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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.