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Finding the Fourth Proportional to 9,663.94, 14,508.87 and 5,722.48

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Solution

The fourth proportional to 9,663.94, 14,508.87 and 5,722.48 is: 8,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.94 : 14,508.87 = 5,722.48 : x
  2. Step 2: Convert to fraction form
    9,663.94/14,508.87 = 5,722.48/x
  3. Step 3: Cross multiply
    9,663.94x = 14,508.87 × 5,722.48
  4. Step 4: Simplify right side
    9,663.94x = 83,026,718.40
  5. Step 5: Solve for x
    x = 83,026,718.40/9,663.94
  6. Step 6: Final answer
    x = 8,591.39

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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.