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Finding the Fourth Proportional to 9,352.27, 12,896.08 and 9,214.39

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Solution

The fourth proportional to 9,352.27, 12,896.08 and 9,214.39 is: 12,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.27 : 12,896.08 = 9,214.39 : x
  2. Step 2: Convert to fraction form
    9,352.27/12,896.08 = 9,214.39/x
  3. Step 3: Cross multiply
    9,352.27x = 12,896.08 × 9,214.39
  4. Step 4: Simplify right side
    9,352.27x = 118,829,510.59
  5. Step 5: Solve for x
    x = 118,829,510.59/9,352.27
  6. Step 6: Final answer
    x = 12,705.95

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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.