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Finding the Fourth Proportional to 7,199.50, 9,931.28 and 4,214.76

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Solution

The fourth proportional to 7,199.50, 9,931.28 and 4,214.76 is: 5,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.50 : 9,931.28 = 4,214.76 : x
  2. Step 2: Convert to fraction form
    7,199.50/9,931.28 = 4,214.76/x
  3. Step 3: Cross multiply
    7,199.50x = 9,931.28 × 4,214.76
  4. Step 4: Simplify right side
    7,199.50x = 41,857,940.20
  5. Step 5: Solve for x
    x = 41,857,940.20/7,199.50
  6. Step 6: Final answer
    x = 5,814.01

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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.