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Finding the Fourth Proportional to 9,766.30, 13,477.40 and 5,289.78

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Solution

The fourth proportional to 9,766.30, 13,477.40 and 5,289.78 is: 7,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.30 : 13,477.40 = 5,289.78 : x
  2. Step 2: Convert to fraction form
    9,766.30/13,477.40 = 5,289.78/x
  3. Step 3: Cross multiply
    9,766.30x = 13,477.40 × 5,289.78
  4. Step 4: Simplify right side
    9,766.30x = 71,292,480.97
  5. Step 5: Solve for x
    x = 71,292,480.97/9,766.30
  6. Step 6: Final answer
    x = 7,299.85

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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.