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Finding the Fourth Proportional to 9,295.77, 12,823.40 and 5,935.05

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Solution

The fourth proportional to 9,295.77, 12,823.40 and 5,935.05 is: 8,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.77 : 12,823.40 = 5,935.05 : x
  2. Step 2: Convert to fraction form
    9,295.77/12,823.40 = 5,935.05/x
  3. Step 3: Cross multiply
    9,295.77x = 12,823.40 × 5,935.05
  4. Step 4: Simplify right side
    9,295.77x = 76,107,456.05
  5. Step 5: Solve for x
    x = 76,107,456.05/9,295.77
  6. Step 6: Final answer
    x = 8,187.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.