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Finding the Fourth Proportional to 9,564.68, 13,195.48 and 5,530.77

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Solution

The fourth proportional to 9,564.68, 13,195.48 and 5,530.77 is: 7,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.68 : 13,195.48 = 5,530.77 : x
  2. Step 2: Convert to fraction form
    9,564.68/13,195.48 = 5,530.77/x
  3. Step 3: Cross multiply
    9,564.68x = 13,195.48 × 5,530.77
  4. Step 4: Simplify right side
    9,564.68x = 72,981,161.46
  5. Step 5: Solve for x
    x = 72,981,161.46/9,564.68
  6. Step 6: Final answer
    x = 7,630.28

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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.