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Finding the Fourth Proportional to 9,902.99, 13,664.82 and 5,922.65

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Solution

The fourth proportional to 9,902.99, 13,664.82 and 5,922.65 is: 8,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.99 : 13,664.82 = 5,922.65 : x
  2. Step 2: Convert to fraction form
    9,902.99/13,664.82 = 5,922.65/x
  3. Step 3: Cross multiply
    9,902.99x = 13,664.82 × 5,922.65
  4. Step 4: Simplify right side
    9,902.99x = 80,931,877.85
  5. Step 5: Solve for x
    x = 80,931,877.85/9,902.99
  6. Step 6: Final answer
    x = 8,172.47

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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.