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Finding the Fourth Proportional to 9,882.21, 14,696.22 and 9,570.77

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Solution

The fourth proportional to 9,882.21, 14,696.22 and 9,570.77 is: 14,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.21 : 14,696.22 = 9,570.77 : x
  2. Step 2: Convert to fraction form
    9,882.21/14,696.22 = 9,570.77/x
  3. Step 3: Cross multiply
    9,882.21x = 14,696.22 × 9,570.77
  4. Step 4: Simplify right side
    9,882.21x = 140,654,141.49
  5. Step 5: Solve for x
    x = 140,654,141.49/9,882.21
  6. Step 6: Final answer
    x = 14,233.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.