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Finding the Fourth Proportional to 9,401.66, 14,107.09 and 6,646.04

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Solution

The fourth proportional to 9,401.66, 14,107.09 and 6,646.04 is: 9,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.66 : 14,107.09 = 6,646.04 : x
  2. Step 2: Convert to fraction form
    9,401.66/14,107.09 = 6,646.04/x
  3. Step 3: Cross multiply
    9,401.66x = 14,107.09 × 6,646.04
  4. Step 4: Simplify right side
    9,401.66x = 93,756,284.42
  5. Step 5: Solve for x
    x = 93,756,284.42/9,401.66
  6. Step 6: Final answer
    x = 9,972.31

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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.