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Finding the Fourth Proportional to 9,856.06, 14,747.02 and 5,892.73

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Solution

The fourth proportional to 9,856.06, 14,747.02 and 5,892.73 is: 8,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.06 : 14,747.02 = 5,892.73 : x
  2. Step 2: Convert to fraction form
    9,856.06/14,747.02 = 5,892.73/x
  3. Step 3: Cross multiply
    9,856.06x = 14,747.02 × 5,892.73
  4. Step 4: Simplify right side
    9,856.06x = 86,900,207.16
  5. Step 5: Solve for x
    x = 86,900,207.16/9,856.06
  6. Step 6: Final answer
    x = 8,816.93

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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.