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Finding the Fourth Proportional to 9,758.10, 14,615.55 and 5,135.70

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Solution

The fourth proportional to 9,758.10, 14,615.55 and 5,135.70 is: 7,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.10 : 14,615.55 = 5,135.70 : x
  2. Step 2: Convert to fraction form
    9,758.10/14,615.55 = 5,135.70/x
  3. Step 3: Cross multiply
    9,758.10x = 14,615.55 × 5,135.70
  4. Step 4: Simplify right side
    9,758.10x = 75,061,080.14
  5. Step 5: Solve for x
    x = 75,061,080.14/9,758.10
  6. Step 6: Final answer
    x = 7,692.18

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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.