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Finding the Fourth Proportional to 9,352.77, 12,896.78 and 9,214.89

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Solution

The fourth proportional to 9,352.77, 12,896.78 and 9,214.89 is: 12,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.77 : 12,896.78 = 9,214.89 : x
  2. Step 2: Convert to fraction form
    9,352.77/12,896.78 = 9,214.89/x
  3. Step 3: Cross multiply
    9,352.77x = 12,896.78 × 9,214.89
  4. Step 4: Simplify right side
    9,352.77x = 118,842,362.98
  5. Step 5: Solve for x
    x = 118,842,362.98/9,352.77
  6. Step 6: Final answer
    x = 12,706.65

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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.