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Finding the Fourth Proportional to 10,389.21, 14,337.05 and 6,410.31

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Solution

The fourth proportional to 10,389.21, 14,337.05 and 6,410.31 is: 8,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.21 : 14,337.05 = 6,410.31 : x
  2. Step 2: Convert to fraction form
    10,389.21/14,337.05 = 6,410.31/x
  3. Step 3: Cross multiply
    10,389.21x = 14,337.05 × 6,410.31
  4. Step 4: Simplify right side
    10,389.21x = 91,904,902.93
  5. Step 5: Solve for x
    x = 91,904,902.93/10,389.21
  6. Step 6: Final answer
    x = 8,846.19

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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.