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Finding the Fourth Proportional to 6,405.83, 9,613.60 and 4,320.89

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Solution

The fourth proportional to 6,405.83, 9,613.60 and 4,320.89 is: 6,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.83 : 9,613.60 = 4,320.89 : x
  2. Step 2: Convert to fraction form
    6,405.83/9,613.60 = 4,320.89/x
  3. Step 3: Cross multiply
    6,405.83x = 9,613.60 × 4,320.89
  4. Step 4: Simplify right side
    6,405.83x = 41,539,249.23
  5. Step 5: Solve for x
    x = 41,539,249.23/6,405.83
  6. Step 6: Final answer
    x = 6,484.61

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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.