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Finding the Fourth Proportional to 9,285.49, 12,813.82 and 5,305.96

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Solution

The fourth proportional to 9,285.49, 12,813.82 and 5,305.96 is: 7,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.49 : 12,813.82 = 5,305.96 : x
  2. Step 2: Convert to fraction form
    9,285.49/12,813.82 = 5,305.96/x
  3. Step 3: Cross multiply
    9,285.49x = 12,813.82 × 5,305.96
  4. Step 4: Simplify right side
    9,285.49x = 67,989,616.37
  5. Step 5: Solve for x
    x = 67,989,616.37/9,285.49
  6. Step 6: Final answer
    x = 7,322.14

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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.