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Finding the Fourth Proportional to 9,100.42, 13,650.63 and 2,526.66

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Solution

The fourth proportional to 9,100.42, 13,650.63 and 2,526.66 is: 3,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.42 : 13,650.63 = 2,526.66 : x
  2. Step 2: Convert to fraction form
    9,100.42/13,650.63 = 2,526.66/x
  3. Step 3: Cross multiply
    9,100.42x = 13,650.63 × 2,526.66
  4. Step 4: Simplify right side
    9,100.42x = 34,490,500.80
  5. Step 5: Solve for x
    x = 34,490,500.80/9,100.42
  6. Step 6: Final answer
    x = 3,789.99

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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.