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Finding the Fourth Proportional to 9,122.84, 12,590.42 and 5,537.51

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Solution

The fourth proportional to 9,122.84, 12,590.42 and 5,537.51 is: 7,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.84 : 12,590.42 = 5,537.51 : x
  2. Step 2: Convert to fraction form
    9,122.84/12,590.42 = 5,537.51/x
  3. Step 3: Cross multiply
    9,122.84x = 12,590.42 × 5,537.51
  4. Step 4: Simplify right side
    9,122.84x = 69,719,548.97
  5. Step 5: Solve for x
    x = 69,719,548.97/9,122.84
  6. Step 6: Final answer
    x = 7,642.31

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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.