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Finding the Fourth Proportional to 28,082.30, 42,109.34 and 9,355.77

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Solution

The fourth proportional to 28,082.30, 42,109.34 and 9,355.77 is: 14,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,082.30 : 42,109.34 = 9,355.77 : x
  2. Step 2: Convert to fraction form
    28,082.30/42,109.34 = 9,355.77/x
  3. Step 3: Cross multiply
    28,082.30x = 42,109.34 × 9,355.77
  4. Step 4: Simplify right side
    28,082.30x = 393,965,253.11
  5. Step 5: Solve for x
    x = 393,965,253.11/28,082.30
  6. Step 6: Final answer
    x = 14,028.96

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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.