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Finding the Fourth Proportional to 9,503.71, 14,257.67 and 3,263.58

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Solution

The fourth proportional to 9,503.71, 14,257.67 and 3,263.58 is: 4,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.71 : 14,257.67 = 3,263.58 : x
  2. Step 2: Convert to fraction form
    9,503.71/14,257.67 = 3,263.58/x
  3. Step 3: Cross multiply
    9,503.71x = 14,257.67 × 3,263.58
  4. Step 4: Simplify right side
    9,503.71x = 46,531,046.66
  5. Step 5: Solve for x
    x = 46,531,046.66/9,503.71
  6. Step 6: Final answer
    x = 4,896.09

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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.