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Finding the Fourth Proportional to 9,222.83, 12,738.13 and 6,716.15

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Solution

The fourth proportional to 9,222.83, 12,738.13 and 6,716.15 is: 9,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.83 : 12,738.13 = 6,716.15 : x
  2. Step 2: Convert to fraction form
    9,222.83/12,738.13 = 6,716.15/x
  3. Step 3: Cross multiply
    9,222.83x = 12,738.13 × 6,716.15
  4. Step 4: Simplify right side
    9,222.83x = 85,551,159.09
  5. Step 5: Solve for x
    x = 85,551,159.09/9,222.83
  6. Step 6: Final answer
    x = 9,276.02

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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.