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Finding the Fourth Proportional to 9,301.86, 12,835.13 and 5,947.65

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Solution

The fourth proportional to 9,301.86, 12,835.13 and 5,947.65 is: 8,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.86 : 12,835.13 = 5,947.65 : x
  2. Step 2: Convert to fraction form
    9,301.86/12,835.13 = 5,947.65/x
  3. Step 3: Cross multiply
    9,301.86x = 12,835.13 × 5,947.65
  4. Step 4: Simplify right side
    9,301.86x = 76,338,831.21
  5. Step 5: Solve for x
    x = 76,338,831.21/9,301.86
  6. Step 6: Final answer
    x = 8,206.84

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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.