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Finding the Fourth Proportional to 9,667.08, 13,340.28 and 6,831.48

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Solution

The fourth proportional to 9,667.08, 13,340.28 and 6,831.48 is: 9,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.08 : 13,340.28 = 6,831.48 : x
  2. Step 2: Convert to fraction form
    9,667.08/13,340.28 = 6,831.48/x
  3. Step 3: Cross multiply
    9,667.08x = 13,340.28 × 6,831.48
  4. Step 4: Simplify right side
    9,667.08x = 91,133,856.01
  5. Step 5: Solve for x
    x = 91,133,856.01/9,667.08
  6. Step 6: Final answer
    x = 9,427.24

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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.