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Finding the Fourth Proportional to 9,788.22, 13,502.69 and 6,197.10

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Solution

The fourth proportional to 9,788.22, 13,502.69 and 6,197.10 is: 8,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.22 : 13,502.69 = 6,197.10 : x
  2. Step 2: Convert to fraction form
    9,788.22/13,502.69 = 6,197.10/x
  3. Step 3: Cross multiply
    9,788.22x = 13,502.69 × 6,197.10
  4. Step 4: Simplify right side
    9,788.22x = 83,677,520.20
  5. Step 5: Solve for x
    x = 83,677,520.20/9,788.22
  6. Step 6: Final answer
    x = 8,548.80

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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.