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Finding the Fourth Proportional to 9,285.82, 12,813.60 and 5,306.92

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Solution

The fourth proportional to 9,285.82, 12,813.60 and 5,306.92 is: 7,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.82 : 12,813.60 = 5,306.92 : x
  2. Step 2: Convert to fraction form
    9,285.82/12,813.60 = 5,306.92/x
  3. Step 3: Cross multiply
    9,285.82x = 12,813.60 × 5,306.92
  4. Step 4: Simplify right side
    9,285.82x = 68,000,750.11
  5. Step 5: Solve for x
    x = 68,000,750.11/9,285.82
  6. Step 6: Final answer
    x = 7,323.07

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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.