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Finding the Fourth Proportional to 6,991.54, 9,654.16 and 4,644.16

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Solution

The fourth proportional to 6,991.54, 9,654.16 and 4,644.16 is: 6,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.54 : 9,654.16 = 4,644.16 : x
  2. Step 2: Convert to fraction form
    6,991.54/9,654.16 = 4,644.16/x
  3. Step 3: Cross multiply
    6,991.54x = 9,654.16 × 4,644.16
  4. Step 4: Simplify right side
    6,991.54x = 44,835,463.71
  5. Step 5: Solve for x
    x = 44,835,463.71/6,991.54
  6. Step 6: Final answer
    x = 6,412.82

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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.