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Finding the Fourth Proportional to 10,306.67, 14,218.12 and 6,945.17

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Solution

The fourth proportional to 10,306.67, 14,218.12 and 6,945.17 is: 9,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.67 : 14,218.12 = 6,945.17 : x
  2. Step 2: Convert to fraction form
    10,306.67/14,218.12 = 6,945.17/x
  3. Step 3: Cross multiply
    10,306.67x = 14,218.12 × 6,945.17
  4. Step 4: Simplify right side
    10,306.67x = 98,747,260.48
  5. Step 5: Solve for x
    x = 98,747,260.48/10,306.67
  6. Step 6: Final answer
    x = 9,580.91

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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.