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Finding the Fourth Proportional to 9,285.97, 13,910.36 and 5,586.14

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Solution

The fourth proportional to 9,285.97, 13,910.36 and 5,586.14 is: 8,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.97 : 13,910.36 = 5,586.14 : x
  2. Step 2: Convert to fraction form
    9,285.97/13,910.36 = 5,586.14/x
  3. Step 3: Cross multiply
    9,285.97x = 13,910.36 × 5,586.14
  4. Step 4: Simplify right side
    9,285.97x = 77,705,162.82
  5. Step 5: Solve for x
    x = 77,705,162.82/9,285.97
  6. Step 6: Final answer
    x = 8,368.02

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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.