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Finding the Fourth Proportional to 9,267.64, 13,901.52 and 3,111.64

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Solution

The fourth proportional to 9,267.64, 13,901.52 and 3,111.64 is: 4,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.64 : 13,901.52 = 3,111.64 : x
  2. Step 2: Convert to fraction form
    9,267.64/13,901.52 = 3,111.64/x
  3. Step 3: Cross multiply
    9,267.64x = 13,901.52 × 3,111.64
  4. Step 4: Simplify right side
    9,267.64x = 43,256,525.69
  5. Step 5: Solve for x
    x = 43,256,525.69/9,267.64
  6. Step 6: Final answer
    x = 4,667.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.