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Finding the Fourth Proportional to 6,994.73, 9,654.37 and 4,344.14

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Solution

The fourth proportional to 6,994.73, 9,654.37 and 4,344.14 is: 5,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.73 : 9,654.37 = 4,344.14 : x
  2. Step 2: Convert to fraction form
    6,994.73/9,654.37 = 4,344.14/x
  3. Step 3: Cross multiply
    6,994.73x = 9,654.37 × 4,344.14
  4. Step 4: Simplify right side
    6,994.73x = 41,939,875.76
  5. Step 5: Solve for x
    x = 41,939,875.76/6,994.73
  6. Step 6: Final answer
    x = 5,995.93

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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.