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Finding the Fourth Proportional to 9,664.48, 14,502.48 and 3,508.96

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Solution

The fourth proportional to 9,664.48, 14,502.48 and 3,508.96 is: 5,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.48 : 14,502.48 = 3,508.96 : x
  2. Step 2: Convert to fraction form
    9,664.48/14,502.48 = 3,508.96/x
  3. Step 3: Cross multiply
    9,664.48x = 14,502.48 × 3,508.96
  4. Step 4: Simplify right side
    9,664.48x = 50,888,622.22
  5. Step 5: Solve for x
    x = 50,888,622.22/9,664.48
  6. Step 6: Final answer
    x = 5,265.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.