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Finding the Fourth Proportional to 10,447.35, 15,646.89 and 6,278.17

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Solution

The fourth proportional to 10,447.35, 15,646.89 and 6,278.17 is: 9,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.35 : 15,646.89 = 6,278.17 : x
  2. Step 2: Convert to fraction form
    10,447.35/15,646.89 = 6,278.17/x
  3. Step 3: Cross multiply
    10,447.35x = 15,646.89 × 6,278.17
  4. Step 4: Simplify right side
    10,447.35x = 98,233,835.39
  5. Step 5: Solve for x
    x = 98,233,835.39/10,447.35
  6. Step 6: Final answer
    x = 9,402.75

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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.