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Finding the Fourth Proportional to 7,196.32, 9,931.68 and 4,213.12

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Solution

The fourth proportional to 7,196.32, 9,931.68 and 4,213.12 is: 5,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.32 : 9,931.68 = 4,213.12 : x
  2. Step 2: Convert to fraction form
    7,196.32/9,931.68 = 4,213.12/x
  3. Step 3: Cross multiply
    7,196.32x = 9,931.68 × 4,213.12
  4. Step 4: Simplify right side
    7,196.32x = 41,843,359.64
  5. Step 5: Solve for x
    x = 41,843,359.64/7,196.32
  6. Step 6: Final answer
    x = 5,814.55

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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.