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Finding the Fourth Proportional to 9,766.29, 13,477.44 and 5,290.08

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Solution

The fourth proportional to 9,766.29, 13,477.44 and 5,290.08 is: 7,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.29 : 13,477.44 = 5,290.08 : x
  2. Step 2: Convert to fraction form
    9,766.29/13,477.44 = 5,290.08/x
  3. Step 3: Cross multiply
    9,766.29x = 13,477.44 × 5,290.08
  4. Step 4: Simplify right side
    9,766.29x = 71,296,735.80
  5. Step 5: Solve for x
    x = 71,296,735.80/9,766.29
  6. Step 6: Final answer
    x = 7,300.29

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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.