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Finding the Fourth Proportional to 9,101.16, 12,561.97 and 5,567.33

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Solution

The fourth proportional to 9,101.16, 12,561.97 and 5,567.33 is: 7,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.16 : 12,561.97 = 5,567.33 : x
  2. Step 2: Convert to fraction form
    9,101.16/12,561.97 = 5,567.33/x
  3. Step 3: Cross multiply
    9,101.16x = 12,561.97 × 5,567.33
  4. Step 4: Simplify right side
    9,101.16x = 69,936,569.63
  5. Step 5: Solve for x
    x = 69,936,569.63/9,101.16
  6. Step 6: Final answer
    x = 7,684.36

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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.