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Finding the Fourth Proportional to 6,442.46, 9,660.03 and 5,892.08

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Solution

The fourth proportional to 6,442.46, 9,660.03 and 5,892.08 is: 8,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.46 : 9,660.03 = 5,892.08 : x
  2. Step 2: Convert to fraction form
    6,442.46/9,660.03 = 5,892.08/x
  3. Step 3: Cross multiply
    6,442.46x = 9,660.03 × 5,892.08
  4. Step 4: Simplify right side
    6,442.46x = 56,917,669.56
  5. Step 5: Solve for x
    x = 56,917,669.56/6,442.46
  6. Step 6: Final answer
    x = 8,834.77

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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.