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Finding the Fourth Proportional to 9,663.76, 14,499.80 and 5,220.54

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Solution

The fourth proportional to 9,663.76, 14,499.80 and 5,220.54 is: 7,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.76 : 14,499.80 = 5,220.54 : x
  2. Step 2: Convert to fraction form
    9,663.76/14,499.80 = 5,220.54/x
  3. Step 3: Cross multiply
    9,663.76x = 14,499.80 × 5,220.54
  4. Step 4: Simplify right side
    9,663.76x = 75,696,687.29
  5. Step 5: Solve for x
    x = 75,696,687.29/9,663.76
  6. Step 6: Final answer
    x = 7,833.05

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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.