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Finding the Fourth Proportional to 9,681.35, 14,522.57 and 2,755.31

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Solution

The fourth proportional to 9,681.35, 14,522.57 and 2,755.31 is: 4,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.35 : 14,522.57 = 2,755.31 : x
  2. Step 2: Convert to fraction form
    9,681.35/14,522.57 = 2,755.31/x
  3. Step 3: Cross multiply
    9,681.35x = 14,522.57 × 2,755.31
  4. Step 4: Simplify right side
    9,681.35x = 40,014,215.21
  5. Step 5: Solve for x
    x = 40,014,215.21/9,681.35
  6. Step 6: Final answer
    x = 4,133.12

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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.