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Finding the Fourth Proportional to 10,389.78, 14,343.72 and 6,859.19

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Solution

The fourth proportional to 10,389.78, 14,343.72 and 6,859.19 is: 9,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.78 : 14,343.72 = 6,859.19 : x
  2. Step 2: Convert to fraction form
    10,389.78/14,343.72 = 6,859.19/x
  3. Step 3: Cross multiply
    10,389.78x = 14,343.72 × 6,859.19
  4. Step 4: Simplify right side
    10,389.78x = 98,386,310.92
  5. Step 5: Solve for x
    x = 98,386,310.92/10,389.78
  6. Step 6: Final answer
    x = 9,469.53

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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.