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Finding the Fourth Proportional to 10,369, 14,309.22 and 6,643

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Solution

The fourth proportional to 10,369, 14,309.22 and 6,643 is: 9,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369 : 14,309.22 = 6,643 : x
  2. Step 2: Convert to fraction form
    10,369/14,309.22 = 6,643/x
  3. Step 3: Cross multiply
    10,369x = 14,309.22 × 6,643
  4. Step 4: Simplify right side
    10,369x = 95,056,148.46
  5. Step 5: Solve for x
    x = 95,056,148.46/10,369
  6. Step 6: Final answer
    x = 9,167.34

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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.