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Finding the Fourth Proportional to 9,735, 14,600.90 and 2,715.49

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Solution

The fourth proportional to 9,735, 14,600.90 and 2,715.49 is: 4,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735 : 14,600.90 = 2,715.49 : x
  2. Step 2: Convert to fraction form
    9,735/14,600.90 = 2,715.49/x
  3. Step 3: Cross multiply
    9,735x = 14,600.90 × 2,715.49
  4. Step 4: Simplify right side
    9,735x = 39,648,561.44
  5. Step 5: Solve for x
    x = 39,648,561.44/9,735
  6. Step 6: Final answer
    x = 4,072.78

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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.