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Finding the Fourth Proportional to 9,667.80, 13,336.82 and 6,309.06

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Solution

The fourth proportional to 9,667.80, 13,336.82 and 6,309.06 is: 8,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.80 : 13,336.82 = 6,309.06 : x
  2. Step 2: Convert to fraction form
    9,667.80/13,336.82 = 6,309.06/x
  3. Step 3: Cross multiply
    9,667.80x = 13,336.82 × 6,309.06
  4. Step 4: Simplify right side
    9,667.80x = 84,142,875.20
  5. Step 5: Solve for x
    x = 84,142,875.20/9,667.80
  6. Step 6: Final answer
    x = 8,703.41

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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.