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Finding the Fourth Proportional to 9,666.71, 14,507.44 and 6,855.29

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Solution

The fourth proportional to 9,666.71, 14,507.44 and 6,855.29 is: 10,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.71 : 14,507.44 = 6,855.29 : x
  2. Step 2: Convert to fraction form
    9,666.71/14,507.44 = 6,855.29/x
  3. Step 3: Cross multiply
    9,666.71x = 14,507.44 × 6,855.29
  4. Step 4: Simplify right side
    9,666.71x = 99,452,711.65
  5. Step 5: Solve for x
    x = 99,452,711.65/9,666.71
  6. Step 6: Final answer
    x = 10,288.17

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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.