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Finding the Fourth Proportional to 9,265.44, 13,868.06 and 6,799.67

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Solution

The fourth proportional to 9,265.44, 13,868.06 and 6,799.67 is: 10,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.44 : 13,868.06 = 6,799.67 : x
  2. Step 2: Convert to fraction form
    9,265.44/13,868.06 = 6,799.67/x
  3. Step 3: Cross multiply
    9,265.44x = 13,868.06 × 6,799.67
  4. Step 4: Simplify right side
    9,265.44x = 94,298,128.20
  5. Step 5: Solve for x
    x = 94,298,128.20/9,265.44
  6. Step 6: Final answer
    x = 10,177.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.