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Finding the Fourth Proportional to 9,667.18, 14,497.21 and 3,340.45

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Solution

The fourth proportional to 9,667.18, 14,497.21 and 3,340.45 is: 5,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.18 : 14,497.21 = 3,340.45 : x
  2. Step 2: Convert to fraction form
    9,667.18/14,497.21 = 3,340.45/x
  3. Step 3: Cross multiply
    9,667.18x = 14,497.21 × 3,340.45
  4. Step 4: Simplify right side
    9,667.18x = 48,427,205.14
  5. Step 5: Solve for x
    x = 48,427,205.14/9,667.18
  6. Step 6: Final answer
    x = 5,009.44

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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.