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Finding the Fourth Proportional to 9,263.77, 12,783.96 and 5,286.13

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Solution

The fourth proportional to 9,263.77, 12,783.96 and 5,286.13 is: 7,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.77 : 12,783.96 = 5,286.13 : x
  2. Step 2: Convert to fraction form
    9,263.77/12,783.96 = 5,286.13/x
  3. Step 3: Cross multiply
    9,263.77x = 12,783.96 × 5,286.13
  4. Step 4: Simplify right side
    9,263.77x = 67,577,642.51
  5. Step 5: Solve for x
    x = 67,577,642.51/9,263.77
  6. Step 6: Final answer
    x = 7,294.83

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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.