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Finding the Fourth Proportional to 9,766.71, 13,477.26 and 5,733.11

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Solution

The fourth proportional to 9,766.71, 13,477.26 and 5,733.11 is: 7,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.71 : 13,477.26 = 5,733.11 : x
  2. Step 2: Convert to fraction form
    9,766.71/13,477.26 = 5,733.11/x
  3. Step 3: Cross multiply
    9,766.71x = 13,477.26 × 5,733.11
  4. Step 4: Simplify right side
    9,766.71x = 77,266,546.69
  5. Step 5: Solve for x
    x = 77,266,546.69/9,766.71
  6. Step 6: Final answer
    x = 7,911.22

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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.