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Finding the Fourth Proportional to 7,001.84, 9,654.54 and 5,230.46

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Solution

The fourth proportional to 7,001.84, 9,654.54 and 5,230.46 is: 7,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.84 : 9,654.54 = 5,230.46 : x
  2. Step 2: Convert to fraction form
    7,001.84/9,654.54 = 5,230.46/x
  3. Step 3: Cross multiply
    7,001.84x = 9,654.54 × 5,230.46
  4. Step 4: Simplify right side
    7,001.84x = 50,497,685.29
  5. Step 5: Solve for x
    x = 50,497,685.29/7,001.84
  6. Step 6: Final answer
    x = 7,212.06

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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.