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Finding the Fourth Proportional to 9,761.40, 14,642.15 and 2,365.85

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Solution

The fourth proportional to 9,761.40, 14,642.15 and 2,365.85 is: 3,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.40 : 14,642.15 = 2,365.85 : x
  2. Step 2: Convert to fraction form
    9,761.40/14,642.15 = 2,365.85/x
  3. Step 3: Cross multiply
    9,761.40x = 14,642.15 × 2,365.85
  4. Step 4: Simplify right side
    9,761.40x = 34,641,155.35
  5. Step 5: Solve for x
    x = 34,641,155.35/9,761.40
  6. Step 6: Final answer
    x = 3,548.79

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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.