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Finding the Fourth Proportional to 9,793.40, 13,541.46 and 9,635.13

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Solution

The fourth proportional to 9,793.40, 13,541.46 and 9,635.13 is: 13,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.40 : 13,541.46 = 9,635.13 : x
  2. Step 2: Convert to fraction form
    9,793.40/13,541.46 = 9,635.13/x
  3. Step 3: Cross multiply
    9,793.40x = 13,541.46 × 9,635.13
  4. Step 4: Simplify right side
    9,793.40x = 130,473,727.49
  5. Step 5: Solve for x
    x = 130,473,727.49/9,793.40
  6. Step 6: Final answer
    x = 13,322.62

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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.