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Finding the Fourth Proportional to 9,212.06, 13,822.74 and 4,531.88

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Solution

The fourth proportional to 9,212.06, 13,822.74 and 4,531.88 is: 6,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.06 : 13,822.74 = 4,531.88 : x
  2. Step 2: Convert to fraction form
    9,212.06/13,822.74 = 4,531.88/x
  3. Step 3: Cross multiply
    9,212.06x = 13,822.74 × 4,531.88
  4. Step 4: Simplify right side
    9,212.06x = 62,642,998.95
  5. Step 5: Solve for x
    x = 62,642,998.95/9,212.06
  6. Step 6: Final answer
    x = 6,800.11

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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.