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Finding the Fourth Proportional to 10,324.16, 14,259.05 and 6,961.17

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Solution

The fourth proportional to 10,324.16, 14,259.05 and 6,961.17 is: 9,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.16 : 14,259.05 = 6,961.17 : x
  2. Step 2: Convert to fraction form
    10,324.16/14,259.05 = 6,961.17/x
  3. Step 3: Cross multiply
    10,324.16x = 14,259.05 × 6,961.17
  4. Step 4: Simplify right side
    10,324.16x = 99,259,636.28
  5. Step 5: Solve for x
    x = 99,259,636.28/10,324.16
  6. Step 6: Final answer
    x = 9,614.31

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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.