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Finding the Fourth Proportional to 10,446.35, 15,645.39 and 6,277.17

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Solution

The fourth proportional to 10,446.35, 15,645.39 and 6,277.17 is: 9,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.35 : 15,645.39 = 6,277.17 : x
  2. Step 2: Convert to fraction form
    10,446.35/15,645.39 = 6,277.17/x
  3. Step 3: Cross multiply
    10,446.35x = 15,645.39 × 6,277.17
  4. Step 4: Simplify right side
    10,446.35x = 98,208,772.75
  5. Step 5: Solve for x
    x = 98,208,772.75/10,446.35
  6. Step 6: Final answer
    x = 9,401.25

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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.