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Finding the Fourth Proportional to 9,672.06, 14,508.56 and 3,013.10

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Solution

The fourth proportional to 9,672.06, 14,508.56 and 3,013.10 is: 4,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.06 : 14,508.56 = 3,013.10 : x
  2. Step 2: Convert to fraction form
    9,672.06/14,508.56 = 3,013.10/x
  3. Step 3: Cross multiply
    9,672.06x = 14,508.56 × 3,013.10
  4. Step 4: Simplify right side
    9,672.06x = 43,715,654.53
  5. Step 5: Solve for x
    x = 43,715,654.53/9,672.06
  6. Step 6: Final answer
    x = 4,519.79

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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.