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Finding the Fourth Proportional to 9,663.20, 13,335.55 and 5,629.76

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Solution

The fourth proportional to 9,663.20, 13,335.55 and 5,629.76 is: 7,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.20 : 13,335.55 = 5,629.76 : x
  2. Step 2: Convert to fraction form
    9,663.20/13,335.55 = 5,629.76/x
  3. Step 3: Cross multiply
    9,663.20x = 13,335.55 × 5,629.76
  4. Step 4: Simplify right side
    9,663.20x = 75,075,884.48
  5. Step 5: Solve for x
    x = 75,075,884.48/9,663.20
  6. Step 6: Final answer
    x = 7,769.26

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