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Finding the Fourth Proportional to 9,933.66, 13,706.23 and 6,159.90

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Solution

The fourth proportional to 9,933.66, 13,706.23 and 6,159.90 is: 8,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.66 : 13,706.23 = 6,159.90 : x
  2. Step 2: Convert to fraction form
    9,933.66/13,706.23 = 6,159.90/x
  3. Step 3: Cross multiply
    9,933.66x = 13,706.23 × 6,159.90
  4. Step 4: Simplify right side
    9,933.66x = 84,429,006.18
  5. Step 5: Solve for x
    x = 84,429,006.18/9,933.66
  6. Step 6: Final answer
    x = 8,499.28

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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.