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Finding the Fourth Proportional to 9,667.02, 14,498.16 and 2,647.05

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Solution

The fourth proportional to 9,667.02, 14,498.16 and 2,647.05 is: 3,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.02 : 14,498.16 = 2,647.05 : x
  2. Step 2: Convert to fraction form
    9,667.02/14,498.16 = 2,647.05/x
  3. Step 3: Cross multiply
    9,667.02x = 14,498.16 × 2,647.05
  4. Step 4: Simplify right side
    9,667.02x = 38,377,354.43
  5. Step 5: Solve for x
    x = 38,377,354.43/9,667.02
  6. Step 6: Final answer
    x = 3,969.93

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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.