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Finding the Fourth Proportional to 10,398.89, 14,351.05 and 6,859.60

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Solution

The fourth proportional to 10,398.89, 14,351.05 and 6,859.60 is: 9,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.89 : 14,351.05 = 6,859.60 : x
  2. Step 2: Convert to fraction form
    10,398.89/14,351.05 = 6,859.60/x
  3. Step 3: Cross multiply
    10,398.89x = 14,351.05 × 6,859.60
  4. Step 4: Simplify right side
    10,398.89x = 98,442,462.58
  5. Step 5: Solve for x
    x = 98,442,462.58/10,398.89
  6. Step 6: Final answer
    x = 9,466.63

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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.