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Finding the Fourth Proportional to 9,649.72, 13,294.38 and 7,409.08

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Solution

The fourth proportional to 9,649.72, 13,294.38 and 7,409.08 is: 10,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.72 : 13,294.38 = 7,409.08 : x
  2. Step 2: Convert to fraction form
    9,649.72/13,294.38 = 7,409.08/x
  3. Step 3: Cross multiply
    9,649.72x = 13,294.38 × 7,409.08
  4. Step 4: Simplify right side
    9,649.72x = 98,499,124.97
  5. Step 5: Solve for x
    x = 98,499,124.97/9,649.72
  6. Step 6: Final answer
    x = 10,207.46

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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.