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Finding the Fourth Proportional to 9,912.92, 14,869.37 and 4,065.42

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Solution

The fourth proportional to 9,912.92, 14,869.37 and 4,065.42 is: 6,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.92 : 14,869.37 = 4,065.42 : x
  2. Step 2: Convert to fraction form
    9,912.92/14,869.37 = 4,065.42/x
  3. Step 3: Cross multiply
    9,912.92x = 14,869.37 × 4,065.42
  4. Step 4: Simplify right side
    9,912.92x = 60,450,300.11
  5. Step 5: Solve for x
    x = 60,450,300.11/9,912.92
  6. Step 6: Final answer
    x = 6,098.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.