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Finding the Fourth Proportional to 9,610.85, 14,415.07 and 2,591.41

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Solution

The fourth proportional to 9,610.85, 14,415.07 and 2,591.41 is: 3,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.85 : 14,415.07 = 2,591.41 : x
  2. Step 2: Convert to fraction form
    9,610.85/14,415.07 = 2,591.41/x
  3. Step 3: Cross multiply
    9,610.85x = 14,415.07 × 2,591.41
  4. Step 4: Simplify right side
    9,610.85x = 37,355,356.55
  5. Step 5: Solve for x
    x = 37,355,356.55/9,610.85
  6. Step 6: Final answer
    x = 3,886.79

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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.