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Finding the Fourth Proportional to 9,035.20, 13,534.80 and 7,952.80

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Solution

The fourth proportional to 9,035.20, 13,534.80 and 7,952.80 is: 11,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.20 : 13,534.80 = 7,952.80 : x
  2. Step 2: Convert to fraction form
    9,035.20/13,534.80 = 7,952.80/x
  3. Step 3: Cross multiply
    9,035.20x = 13,534.80 × 7,952.80
  4. Step 4: Simplify right side
    9,035.20x = 107,639,557.44
  5. Step 5: Solve for x
    x = 107,639,557.44/9,035.20
  6. Step 6: Final answer
    x = 11,913.36

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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.