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Finding the Fourth Proportional to 9,667.15, 14,500.18 and 2,646.65

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Solution

The fourth proportional to 9,667.15, 14,500.18 and 2,646.65 is: 3,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.15 : 14,500.18 = 2,646.65 : x
  2. Step 2: Convert to fraction form
    9,667.15/14,500.18 = 2,646.65/x
  3. Step 3: Cross multiply
    9,667.15x = 14,500.18 × 2,646.65
  4. Step 4: Simplify right side
    9,667.15x = 38,376,901.40
  5. Step 5: Solve for x
    x = 38,376,901.40/9,667.15
  6. Step 6: Final answer
    x = 3,969.83

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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.