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Finding the Fourth Proportional to 9,537.22, 14,266.92 and 7,690.42

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Solution

The fourth proportional to 9,537.22, 14,266.92 and 7,690.42 is: 11,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.22 : 14,266.92 = 7,690.42 : x
  2. Step 2: Convert to fraction form
    9,537.22/14,266.92 = 7,690.42/x
  3. Step 3: Cross multiply
    9,537.22x = 14,266.92 × 7,690.42
  4. Step 4: Simplify right side
    9,537.22x = 109,718,606.91
  5. Step 5: Solve for x
    x = 109,718,606.91/9,537.22
  6. Step 6: Final answer
    x = 11,504.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.