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Finding the Fourth Proportional to 9,396, 14,093.46 and 2,822.04

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Solution

The fourth proportional to 9,396, 14,093.46 and 2,822.04 is: 4,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396 : 14,093.46 = 2,822.04 : x
  2. Step 2: Convert to fraction form
    9,396/14,093.46 = 2,822.04/x
  3. Step 3: Cross multiply
    9,396x = 14,093.46 × 2,822.04
  4. Step 4: Simplify right side
    9,396x = 39,772,307.86
  5. Step 5: Solve for x
    x = 39,772,307.86/9,396
  6. Step 6: Final answer
    x = 4,232.90

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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.