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Finding the Fourth Proportional to 10,338.90, 14,269.95 and 6,802.44

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Solution

The fourth proportional to 10,338.90, 14,269.95 and 6,802.44 is: 9,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.90 : 14,269.95 = 6,802.44 : x
  2. Step 2: Convert to fraction form
    10,338.90/14,269.95 = 6,802.44/x
  3. Step 3: Cross multiply
    10,338.90x = 14,269.95 × 6,802.44
  4. Step 4: Simplify right side
    10,338.90x = 97,070,478.68
  5. Step 5: Solve for x
    x = 97,070,478.68/10,338.90
  6. Step 6: Final answer
    x = 9,388.86

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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.