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Finding the Fourth Proportional to 9,717.22, 13,377.33 and 9,270.88

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Solution

The fourth proportional to 9,717.22, 13,377.33 and 9,270.88 is: 12,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.22 : 13,377.33 = 9,270.88 : x
  2. Step 2: Convert to fraction form
    9,717.22/13,377.33 = 9,270.88/x
  3. Step 3: Cross multiply
    9,717.22x = 13,377.33 × 9,270.88
  4. Step 4: Simplify right side
    9,717.22x = 124,019,554.26
  5. Step 5: Solve for x
    x = 124,019,554.26/9,717.22
  6. Step 6: Final answer
    x = 12,762.87

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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.