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Finding the Fourth Proportional to 9,135.40, 13,703.10 and 6,197.80

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Solution

The fourth proportional to 9,135.40, 13,703.10 and 6,197.80 is: 9,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.40 : 13,703.10 = 6,197.80 : x
  2. Step 2: Convert to fraction form
    9,135.40/13,703.10 = 6,197.80/x
  3. Step 3: Cross multiply
    9,135.40x = 13,703.10 × 6,197.80
  4. Step 4: Simplify right side
    9,135.40x = 84,929,073.18
  5. Step 5: Solve for x
    x = 84,929,073.18/9,135.40
  6. Step 6: Final answer
    x = 9,296.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.