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Finding the Fourth Proportional to 6,997.42, 9,658.47 and 5,590.90

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Solution

The fourth proportional to 6,997.42, 9,658.47 and 5,590.90 is: 7,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.42 : 9,658.47 = 5,590.90 : x
  2. Step 2: Convert to fraction form
    6,997.42/9,658.47 = 5,590.90/x
  3. Step 3: Cross multiply
    6,997.42x = 9,658.47 × 5,590.90
  4. Step 4: Simplify right side
    6,997.42x = 53,999,539.92
  5. Step 5: Solve for x
    x = 53,999,539.92/6,997.42
  6. Step 6: Final answer
    x = 7,717.06

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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.