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Finding the Fourth Proportional to 6,298.06, 9,447.02 and 2,402.44

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Solution

The fourth proportional to 6,298.06, 9,447.02 and 2,402.44 is: 3,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.06 : 9,447.02 = 2,402.44 : x
  2. Step 2: Convert to fraction form
    6,298.06/9,447.02 = 2,402.44/x
  3. Step 3: Cross multiply
    6,298.06x = 9,447.02 × 2,402.44
  4. Step 4: Simplify right side
    6,298.06x = 22,695,898.73
  5. Step 5: Solve for x
    x = 22,695,898.73/6,298.06
  6. Step 6: Final answer
    x = 3,603.63

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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.