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Finding the Fourth Proportional to 9,666.81, 13,335.29 and 6,029.85

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Solution

The fourth proportional to 9,666.81, 13,335.29 and 6,029.85 is: 8,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.81 : 13,335.29 = 6,029.85 : x
  2. Step 2: Convert to fraction form
    9,666.81/13,335.29 = 6,029.85/x
  3. Step 3: Cross multiply
    9,666.81x = 13,335.29 × 6,029.85
  4. Step 4: Simplify right side
    9,666.81x = 80,409,768.26
  5. Step 5: Solve for x
    x = 80,409,768.26/9,666.81
  6. Step 6: Final answer
    x = 8,318.13

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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.