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Finding the Fourth Proportional to 9,701.40, 14,552.01 and 2,775.90

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Solution

The fourth proportional to 9,701.40, 14,552.01 and 2,775.90 is: 4,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.40 : 14,552.01 = 2,775.90 : x
  2. Step 2: Convert to fraction form
    9,701.40/14,552.01 = 2,775.90/x
  3. Step 3: Cross multiply
    9,701.40x = 14,552.01 × 2,775.90
  4. Step 4: Simplify right side
    9,701.40x = 40,394,924.56
  5. Step 5: Solve for x
    x = 40,394,924.56/9,701.40
  6. Step 6: Final answer
    x = 4,163.82

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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.