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Finding the Fourth Proportional to 7,197.06, 9,931.80 and 4,213.02

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Solution

The fourth proportional to 7,197.06, 9,931.80 and 4,213.02 is: 5,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.06 : 9,931.80 = 4,213.02 : x
  2. Step 2: Convert to fraction form
    7,197.06/9,931.80 = 4,213.02/x
  3. Step 3: Cross multiply
    7,197.06x = 9,931.80 × 4,213.02
  4. Step 4: Simplify right side
    7,197.06x = 41,842,872.04
  5. Step 5: Solve for x
    x = 41,842,872.04/7,197.06
  6. Step 6: Final answer
    x = 5,813.88

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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.