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Finding the Fourth Proportional to 9,756.28, 13,464.66 and 5,564.44

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Solution

The fourth proportional to 9,756.28, 13,464.66 and 5,564.44 is: 7,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.28 : 13,464.66 = 5,564.44 : x
  2. Step 2: Convert to fraction form
    9,756.28/13,464.66 = 5,564.44/x
  3. Step 3: Cross multiply
    9,756.28x = 13,464.66 × 5,564.44
  4. Step 4: Simplify right side
    9,756.28x = 74,923,292.69
  5. Step 5: Solve for x
    x = 74,923,292.69/9,756.28
  6. Step 6: Final answer
    x = 7,679.49

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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.