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Finding the Fourth Proportional to 6,317.83, 9,476.70 and 3,020.95

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Solution

The fourth proportional to 6,317.83, 9,476.70 and 3,020.95 is: 4,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.83 : 9,476.70 = 3,020.95 : x
  2. Step 2: Convert to fraction form
    6,317.83/9,476.70 = 3,020.95/x
  3. Step 3: Cross multiply
    6,317.83x = 9,476.70 × 3,020.95
  4. Step 4: Simplify right side
    6,317.83x = 28,628,636.87
  5. Step 5: Solve for x
    x = 28,628,636.87/6,317.83
  6. Step 6: Final answer
    x = 4,531.40

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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.