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Finding the Fourth Proportional to 9,621.40, 14,415.09 and 6,685.96

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Solution

The fourth proportional to 9,621.40, 14,415.09 and 6,685.96 is: 10,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.40 : 14,415.09 = 6,685.96 : x
  2. Step 2: Convert to fraction form
    9,621.40/14,415.09 = 6,685.96/x
  3. Step 3: Cross multiply
    9,621.40x = 14,415.09 × 6,685.96
  4. Step 4: Simplify right side
    9,621.40x = 96,378,715.14
  5. Step 5: Solve for x
    x = 96,378,715.14/9,621.40
  6. Step 6: Final answer
    x = 10,017.12

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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.