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Finding the Fourth Proportional to 9,675.80, 14,516.13 and 2,750.30

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Solution

The fourth proportional to 9,675.80, 14,516.13 and 2,750.30 is: 4,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.80 : 14,516.13 = 2,750.30 : x
  2. Step 2: Convert to fraction form
    9,675.80/14,516.13 = 2,750.30/x
  3. Step 3: Cross multiply
    9,675.80x = 14,516.13 × 2,750.30
  4. Step 4: Simplify right side
    9,675.80x = 39,923,704.51
  5. Step 5: Solve for x
    x = 39,923,704.51/9,675.80
  6. Step 6: Final answer
    x = 4,126.14

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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.