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Finding the Fourth Proportional to 9,213.88, 13,810 and 4,273.12

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Solution

The fourth proportional to 9,213.88, 13,810 and 4,273.12 is: 6,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.88 : 13,810 = 4,273.12 : x
  2. Step 2: Convert to fraction form
    9,213.88/13,810 = 4,273.12/x
  3. Step 3: Cross multiply
    9,213.88x = 13,810 × 4,273.12
  4. Step 4: Simplify right side
    9,213.88x = 59,011,718.15
  5. Step 5: Solve for x
    x = 59,011,718.15/9,213.88
  6. Step 6: Final answer
    x = 6,404.65

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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.