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Finding the Fourth Proportional to 6,073.68, 9,102 and 4,222.02

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Solution

The fourth proportional to 6,073.68, 9,102 and 4,222.02 is: 6,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.68 : 9,102 = 4,222.02 : x
  2. Step 2: Convert to fraction form
    6,073.68/9,102 = 4,222.02/x
  3. Step 3: Cross multiply
    6,073.68x = 9,102 × 4,222.02
  4. Step 4: Simplify right side
    6,073.68x = 38,428,826.04
  5. Step 5: Solve for x
    x = 38,428,826.04/6,073.68
  6. Step 6: Final answer
    x = 6,327.11

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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.