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Finding the Fourth Proportional to 7,214.60, 9,955.14 and 4,027.76

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Solution

The fourth proportional to 7,214.60, 9,955.14 and 4,027.76 is: 5,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.60 : 9,955.14 = 4,027.76 : x
  2. Step 2: Convert to fraction form
    7,214.60/9,955.14 = 4,027.76/x
  3. Step 3: Cross multiply
    7,214.60x = 9,955.14 × 4,027.76
  4. Step 4: Simplify right side
    7,214.60x = 40,096,914.69
  5. Step 5: Solve for x
    x = 40,096,914.69/7,214.60
  6. Step 6: Final answer
    x = 5,557.75

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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.