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Finding the Fourth Proportional to 9,590.85, 13,239.46 and 6,448.86

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Solution

The fourth proportional to 9,590.85, 13,239.46 and 6,448.86 is: 8,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.85 : 13,239.46 = 6,448.86 : x
  2. Step 2: Convert to fraction form
    9,590.85/13,239.46 = 6,448.86/x
  3. Step 3: Cross multiply
    9,590.85x = 13,239.46 × 6,448.86
  4. Step 4: Simplify right side
    9,590.85x = 85,379,424.02
  5. Step 5: Solve for x
    x = 85,379,424.02/9,590.85
  6. Step 6: Final answer
    x = 8,902.17

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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.