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Finding the Fourth Proportional to 6,659.72, 9,978.54 and 5,972.93

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Solution

The fourth proportional to 6,659.72, 9,978.54 and 5,972.93 is: 8,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.72 : 9,978.54 = 5,972.93 : x
  2. Step 2: Convert to fraction form
    6,659.72/9,978.54 = 5,972.93/x
  3. Step 3: Cross multiply
    6,659.72x = 9,978.54 × 5,972.93
  4. Step 4: Simplify right side
    6,659.72x = 59,601,071.03
  5. Step 5: Solve for x
    x = 59,601,071.03/6,659.72
  6. Step 6: Final answer
    x = 8,949.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.