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Finding the Fourth Proportional to 6,320.83, 9,478.12 and 1,937.23

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Solution

The fourth proportional to 6,320.83, 9,478.12 and 1,937.23 is: 2,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.83 : 9,478.12 = 1,937.23 : x
  2. Step 2: Convert to fraction form
    6,320.83/9,478.12 = 1,937.23/x
  3. Step 3: Cross multiply
    6,320.83x = 9,478.12 × 1,937.23
  4. Step 4: Simplify right side
    6,320.83x = 18,361,298.41
  5. Step 5: Solve for x
    x = 18,361,298.41/6,320.83
  6. Step 6: Final answer
    x = 2,904.89

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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.