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Finding the Fourth Proportional to 9,833.10, 13,560.75 and 6,474.67

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Solution

The fourth proportional to 9,833.10, 13,560.75 and 6,474.67 is: 8,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.10 : 13,560.75 = 6,474.67 : x
  2. Step 2: Convert to fraction form
    9,833.10/13,560.75 = 6,474.67/x
  3. Step 3: Cross multiply
    9,833.10x = 13,560.75 × 6,474.67
  4. Step 4: Simplify right side
    9,833.10x = 87,801,347.30
  5. Step 5: Solve for x
    x = 87,801,347.30/9,833.10
  6. Step 6: Final answer
    x = 8,929.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.