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Finding the Fourth Proportional to 9,673.41, 13,351.13 and 6,319.07

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Solution

The fourth proportional to 9,673.41, 13,351.13 and 6,319.07 is: 8,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.41 : 13,351.13 = 6,319.07 : x
  2. Step 2: Convert to fraction form
    9,673.41/13,351.13 = 6,319.07/x
  3. Step 3: Cross multiply
    9,673.41x = 13,351.13 × 6,319.07
  4. Step 4: Simplify right side
    9,673.41x = 84,366,725.05
  5. Step 5: Solve for x
    x = 84,366,725.05/9,673.41
  6. Step 6: Final answer
    x = 8,721.51

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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.