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Finding the Fourth Proportional to 9,667.35, 13,337.01 and 6,309

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Solution

The fourth proportional to 9,667.35, 13,337.01 and 6,309 is: 8,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.35 : 13,337.01 = 6,309 : x
  2. Step 2: Convert to fraction form
    9,667.35/13,337.01 = 6,309/x
  3. Step 3: Cross multiply
    9,667.35x = 13,337.01 × 6,309
  4. Step 4: Simplify right side
    9,667.35x = 84,143,196.09
  5. Step 5: Solve for x
    x = 84,143,196.09/9,667.35
  6. Step 6: Final answer
    x = 8,703.85

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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.