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Finding the Fourth Proportional to 9,569.70, 13,203.14 and 5,791.66

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Solution

The fourth proportional to 9,569.70, 13,203.14 and 5,791.66 is: 7,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.70 : 13,203.14 = 5,791.66 : x
  2. Step 2: Convert to fraction form
    9,569.70/13,203.14 = 5,791.66/x
  3. Step 3: Cross multiply
    9,569.70x = 13,203.14 × 5,791.66
  4. Step 4: Simplify right side
    9,569.70x = 76,468,002.84
  5. Step 5: Solve for x
    x = 76,468,002.84/9,569.70
  6. Step 6: Final answer
    x = 7,990.64

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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.