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Finding the Fourth Proportional to 9,633, 13,293.54 and 5,217

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Solution

The fourth proportional to 9,633, 13,293.54 and 5,217 is: 7,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633 : 13,293.54 = 5,217 : x
  2. Step 2: Convert to fraction form
    9,633/13,293.54 = 5,217/x
  3. Step 3: Cross multiply
    9,633x = 13,293.54 × 5,217
  4. Step 4: Simplify right side
    9,633x = 69,352,398.18
  5. Step 5: Solve for x
    x = 69,352,398.18/9,633
  6. Step 6: Final answer
    x = 7,199.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.