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Finding the Fourth Proportional to 9,122.76, 12,564.22 and 7,863.34

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Solution

The fourth proportional to 9,122.76, 12,564.22 and 7,863.34 is: 10,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.76 : 12,564.22 = 7,863.34 : x
  2. Step 2: Convert to fraction form
    9,122.76/12,564.22 = 7,863.34/x
  3. Step 3: Cross multiply
    9,122.76x = 12,564.22 × 7,863.34
  4. Step 4: Simplify right side
    9,122.76x = 98,796,733.69
  5. Step 5: Solve for x
    x = 98,796,733.69/9,122.76
  6. Step 6: Final answer
    x = 10,829.70

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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.