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Finding the Fourth Proportional to 6,072.38, 9,102.09 and 4,335.74

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Solution

The fourth proportional to 6,072.38, 9,102.09 and 4,335.74 is: 6,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.38 : 9,102.09 = 4,335.74 : x
  2. Step 2: Convert to fraction form
    6,072.38/9,102.09 = 4,335.74/x
  3. Step 3: Cross multiply
    6,072.38x = 9,102.09 × 4,335.74
  4. Step 4: Simplify right side
    6,072.38x = 39,464,295.70
  5. Step 5: Solve for x
    x = 39,464,295.70/6,072.38
  6. Step 6: Final answer
    x = 6,498.98

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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.