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Finding the Fourth Proportional to 10,398.39, 14,350.37 and 6,859.10

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Solution

The fourth proportional to 10,398.39, 14,350.37 and 6,859.10 is: 9,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.39 : 14,350.37 = 6,859.10 : x
  2. Step 2: Convert to fraction form
    10,398.39/14,350.37 = 6,859.10/x
  3. Step 3: Cross multiply
    10,398.39x = 14,350.37 × 6,859.10
  4. Step 4: Simplify right side
    10,398.39x = 98,430,516.82
  5. Step 5: Solve for x
    x = 98,430,516.82/10,398.39
  6. Step 6: Final answer
    x = 9,465.94

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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.