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Finding the Fourth Proportional to 9,673.10, 13,343.97 and 6,317.88

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Solution

The fourth proportional to 9,673.10, 13,343.97 and 6,317.88 is: 8,715.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.10 : 13,343.97 = 6,317.88 : x
  2. Step 2: Convert to fraction form
    9,673.10/13,343.97 = 6,317.88/x
  3. Step 3: Cross multiply
    9,673.10x = 13,343.97 × 6,317.88
  4. Step 4: Simplify right side
    9,673.10x = 84,305,632.13
  5. Step 5: Solve for x
    x = 84,305,632.13/9,673.10
  6. Step 6: Final answer
    x = 8,715.47

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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.