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Finding the Fourth Proportional to 6,224.59, 9,342.75 and 4,146.05

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Solution

The fourth proportional to 6,224.59, 9,342.75 and 4,146.05 is: 6,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.59 : 9,342.75 = 4,146.05 : x
  2. Step 2: Convert to fraction form
    6,224.59/9,342.75 = 4,146.05/x
  3. Step 3: Cross multiply
    6,224.59x = 9,342.75 × 4,146.05
  4. Step 4: Simplify right side
    6,224.59x = 38,735,508.64
  5. Step 5: Solve for x
    x = 38,735,508.64/6,224.59
  6. Step 6: Final answer
    x = 6,222.98

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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.