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Finding the Fourth Proportional to 9,265.32, 12,777.57 and 8,199.14

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Solution

The fourth proportional to 9,265.32, 12,777.57 and 8,199.14 is: 11,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.32 : 12,777.57 = 8,199.14 : x
  2. Step 2: Convert to fraction form
    9,265.32/12,777.57 = 8,199.14/x
  3. Step 3: Cross multiply
    9,265.32x = 12,777.57 × 8,199.14
  4. Step 4: Simplify right side
    9,265.32x = 104,765,021.40
  5. Step 5: Solve for x
    x = 104,765,021.40/9,265.32
  6. Step 6: Final answer
    x = 11,307.22

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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.