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Finding the Fourth Proportional to 9,396.32, 14,094.48 and 3,849.68

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Solution

The fourth proportional to 9,396.32, 14,094.48 and 3,849.68 is: 5,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.32 : 14,094.48 = 3,849.68 : x
  2. Step 2: Convert to fraction form
    9,396.32/14,094.48 = 3,849.68/x
  3. Step 3: Cross multiply
    9,396.32x = 14,094.48 × 3,849.68
  4. Step 4: Simplify right side
    9,396.32x = 54,259,196.90
  5. Step 5: Solve for x
    x = 54,259,196.90/9,396.32
  6. Step 6: Final answer
    x = 5,774.51

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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.