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Finding the Fourth Proportional to 9,502.17, 14,253.54 and 3,262.09

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Solution

The fourth proportional to 9,502.17, 14,253.54 and 3,262.09 is: 4,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.17 : 14,253.54 = 3,262.09 : x
  2. Step 2: Convert to fraction form
    9,502.17/14,253.54 = 3,262.09/x
  3. Step 3: Cross multiply
    9,502.17x = 14,253.54 × 3,262.09
  4. Step 4: Simplify right side
    9,502.17x = 46,496,330.30
  5. Step 5: Solve for x
    x = 46,496,330.30/9,502.17
  6. Step 6: Final answer
    x = 4,893.23

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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.