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Finding the Fourth Proportional to 9,253.90, 12,770.22 and 5,716.09

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Solution

The fourth proportional to 9,253.90, 12,770.22 and 5,716.09 is: 7,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.90 : 12,770.22 = 5,716.09 : x
  2. Step 2: Convert to fraction form
    9,253.90/12,770.22 = 5,716.09/x
  3. Step 3: Cross multiply
    9,253.90x = 12,770.22 × 5,716.09
  4. Step 4: Simplify right side
    9,253.90x = 72,995,726.84
  5. Step 5: Solve for x
    x = 72,995,726.84/9,253.90
  6. Step 6: Final answer
    x = 7,888.10

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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.