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Finding the Fourth Proportional to 6,462.06, 9,696.87 and 2,713.52

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Solution

The fourth proportional to 6,462.06, 9,696.87 and 2,713.52 is: 4,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.06 : 9,696.87 = 2,713.52 : x
  2. Step 2: Convert to fraction form
    6,462.06/9,696.87 = 2,713.52/x
  3. Step 3: Cross multiply
    6,462.06x = 9,696.87 × 2,713.52
  4. Step 4: Simplify right side
    6,462.06x = 26,312,602.20
  5. Step 5: Solve for x
    x = 26,312,602.20/6,462.06
  6. Step 6: Final answer
    x = 4,071.86

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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.