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Finding the Fourth Proportional to 10,310.31, 14,239.83 and 6,966.93

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Solution

The fourth proportional to 10,310.31, 14,239.83 and 6,966.93 is: 9,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.31 : 14,239.83 = 6,966.93 : x
  2. Step 2: Convert to fraction form
    10,310.31/14,239.83 = 6,966.93/x
  3. Step 3: Cross multiply
    10,310.31x = 14,239.83 × 6,966.93
  4. Step 4: Simplify right side
    10,310.31x = 99,207,898.82
  5. Step 5: Solve for x
    x = 99,207,898.82/10,310.31
  6. Step 6: Final answer
    x = 9,622.20

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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.