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Finding the Fourth Proportional to 9,410.40, 14,115.60 and 9,082.35

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Solution

The fourth proportional to 9,410.40, 14,115.60 and 9,082.35 is: 13,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.40 : 14,115.60 = 9,082.35 : x
  2. Step 2: Convert to fraction form
    9,410.40/14,115.60 = 9,082.35/x
  3. Step 3: Cross multiply
    9,410.40x = 14,115.60 × 9,082.35
  4. Step 4: Simplify right side
    9,410.40x = 128,202,819.66
  5. Step 5: Solve for x
    x = 128,202,819.66/9,410.40
  6. Step 6: Final answer
    x = 13,623.53

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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.