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Finding the Fourth Proportional to 6,071.47, 9,115.59 and 4,192.95

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Solution

The fourth proportional to 6,071.47, 9,115.59 and 4,192.95 is: 6,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.47 : 9,115.59 = 4,192.95 : x
  2. Step 2: Convert to fraction form
    6,071.47/9,115.59 = 4,192.95/x
  3. Step 3: Cross multiply
    6,071.47x = 9,115.59 × 4,192.95
  4. Step 4: Simplify right side
    6,071.47x = 38,221,213.09
  5. Step 5: Solve for x
    x = 38,221,213.09/6,071.47
  6. Step 6: Final answer
    x = 6,295.22

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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.