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Finding the Fourth Proportional to 9,967.38, 13,754.54 and 5,715.41

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Solution

The fourth proportional to 9,967.38, 13,754.54 and 5,715.41 is: 7,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.38 : 13,754.54 = 5,715.41 : x
  2. Step 2: Convert to fraction form
    9,967.38/13,754.54 = 5,715.41/x
  3. Step 3: Cross multiply
    9,967.38x = 13,754.54 × 5,715.41
  4. Step 4: Simplify right side
    9,967.38x = 78,612,738.11
  5. Step 5: Solve for x
    x = 78,612,738.11/9,967.38
  6. Step 6: Final answer
    x = 7,887.00

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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.