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Finding the Fourth Proportional to 9,522.89, 13,137.51 and 5,743.91

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Solution

The fourth proportional to 9,522.89, 13,137.51 and 5,743.91 is: 7,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.89 : 13,137.51 = 5,743.91 : x
  2. Step 2: Convert to fraction form
    9,522.89/13,137.51 = 5,743.91/x
  3. Step 3: Cross multiply
    9,522.89x = 13,137.51 × 5,743.91
  4. Step 4: Simplify right side
    9,522.89x = 75,460,675.06
  5. Step 5: Solve for x
    x = 75,460,675.06/9,522.89
  6. Step 6: Final answer
    x = 7,924.14

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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.