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Finding the Fourth Proportional to 9,761.12, 13,470.18 and 5,284.83

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Solution

The fourth proportional to 9,761.12, 13,470.18 and 5,284.83 is: 7,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.12 : 13,470.18 = 5,284.83 : x
  2. Step 2: Convert to fraction form
    9,761.12/13,470.18 = 5,284.83/x
  3. Step 3: Cross multiply
    9,761.12x = 13,470.18 × 5,284.83
  4. Step 4: Simplify right side
    9,761.12x = 71,187,584.95
  5. Step 5: Solve for x
    x = 71,187,584.95/9,761.12
  6. Step 6: Final answer
    x = 7,292.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.