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Finding the Fourth Proportional to 6,312.23, 9,469.73 and 1,930.02

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Solution

The fourth proportional to 6,312.23, 9,469.73 and 1,930.02 is: 2,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.23 : 9,469.73 = 1,930.02 : x
  2. Step 2: Convert to fraction form
    6,312.23/9,469.73 = 1,930.02/x
  3. Step 3: Cross multiply
    6,312.23x = 9,469.73 × 1,930.02
  4. Step 4: Simplify right side
    6,312.23x = 18,276,758.64
  5. Step 5: Solve for x
    x = 18,276,758.64/6,312.23
  6. Step 6: Final answer
    x = 2,895.45

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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.