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Finding the Fourth Proportional to 6,350.82, 9,479.93 and 5,830.80

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Solution

The fourth proportional to 6,350.82, 9,479.93 and 5,830.80 is: 8,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.82 : 9,479.93 = 5,830.80 : x
  2. Step 2: Convert to fraction form
    6,350.82/9,479.93 = 5,830.80/x
  3. Step 3: Cross multiply
    6,350.82x = 9,479.93 × 5,830.80
  4. Step 4: Simplify right side
    6,350.82x = 55,275,575.84
  5. Step 5: Solve for x
    x = 55,275,575.84/6,350.82
  6. Step 6: Final answer
    x = 8,703.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.