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Finding the Fourth Proportional to 9,766.56, 13,477.89 and 5,290.32

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Solution

The fourth proportional to 9,766.56, 13,477.89 and 5,290.32 is: 7,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.56 : 13,477.89 = 5,290.32 : x
  2. Step 2: Convert to fraction form
    9,766.56/13,477.89 = 5,290.32/x
  3. Step 3: Cross multiply
    9,766.56x = 13,477.89 × 5,290.32
  4. Step 4: Simplify right side
    9,766.56x = 71,302,351.02
  5. Step 5: Solve for x
    x = 71,302,351.02/9,766.56
  6. Step 6: Final answer
    x = 7,300.66

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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.