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Finding the Fourth Proportional to 10,464.36, 15,680.82 and 9,476.52

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Solution

The fourth proportional to 10,464.36, 15,680.82 and 9,476.52 is: 14,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.36 : 15,680.82 = 9,476.52 : x
  2. Step 2: Convert to fraction form
    10,464.36/15,680.82 = 9,476.52/x
  3. Step 3: Cross multiply
    10,464.36x = 15,680.82 × 9,476.52
  4. Step 4: Simplify right side
    10,464.36x = 148,599,604.35
  5. Step 5: Solve for x
    x = 148,599,604.35/10,464.36
  6. Step 6: Final answer
    x = 14,200.54

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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.