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Finding the Fourth Proportional to 10,738.67, 14,817.65 and 6,967.01

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Solution

The fourth proportional to 10,738.67, 14,817.65 and 6,967.01 is: 9,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.67 : 14,817.65 = 6,967.01 : x
  2. Step 2: Convert to fraction form
    10,738.67/14,817.65 = 6,967.01/x
  3. Step 3: Cross multiply
    10,738.67x = 14,817.65 × 6,967.01
  4. Step 4: Simplify right side
    10,738.67x = 103,234,606.80
  5. Step 5: Solve for x
    x = 103,234,606.80/10,738.67
  6. Step 6: Final answer
    x = 9,613.36

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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.