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Finding the Fourth Proportional to 9,756, 13,464.24 and 5,564.32

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Solution

The fourth proportional to 9,756, 13,464.24 and 5,564.32 is: 7,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 13,464.24 = 5,564.32 : x
  2. Step 2: Convert to fraction form
    9,756/13,464.24 = 5,564.32/x
  3. Step 3: Cross multiply
    9,756x = 13,464.24 × 5,564.32
  4. Step 4: Simplify right side
    9,756x = 74,919,339.92
  5. Step 5: Solve for x
    x = 74,919,339.92/9,756
  6. Step 6: Final answer
    x = 7,679.31

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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.