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Finding the Fourth Proportional to 6,071.46, 9,093.02 and 4,673.70

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Solution

The fourth proportional to 6,071.46, 9,093.02 and 4,673.70 is: 6,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.46 : 9,093.02 = 4,673.70 : x
  2. Step 2: Convert to fraction form
    6,071.46/9,093.02 = 4,673.70/x
  3. Step 3: Cross multiply
    6,071.46x = 9,093.02 × 4,673.70
  4. Step 4: Simplify right side
    6,071.46x = 42,498,058.30
  5. Step 5: Solve for x
    x = 42,498,058.30/6,071.46
  6. Step 6: Final answer
    x = 6,999.64

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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.