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Finding the Fourth Proportional to 10,333.62, 14,236.29 and 7,184.34

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Solution

The fourth proportional to 10,333.62, 14,236.29 and 7,184.34 is: 9,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.62 : 14,236.29 = 7,184.34 : x
  2. Step 2: Convert to fraction form
    10,333.62/14,236.29 = 7,184.34/x
  3. Step 3: Cross multiply
    10,333.62x = 14,236.29 × 7,184.34
  4. Step 4: Simplify right side
    10,333.62x = 102,278,347.70
  5. Step 5: Solve for x
    x = 102,278,347.70/10,333.62
  6. Step 6: Final answer
    x = 9,897.63

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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.