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Finding the Fourth Proportional to 6,071.92, 9,109.52 and 3,476.72

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Solution

The fourth proportional to 6,071.92, 9,109.52 and 3,476.72 is: 5,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.92 : 9,109.52 = 3,476.72 : x
  2. Step 2: Convert to fraction form
    6,071.92/9,109.52 = 3,476.72/x
  3. Step 3: Cross multiply
    6,071.92x = 9,109.52 × 3,476.72
  4. Step 4: Simplify right side
    6,071.92x = 31,671,250.37
  5. Step 5: Solve for x
    x = 31,671,250.37/6,071.92
  6. Step 6: Final answer
    x = 5,216.02

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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.