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Finding the Fourth Proportional to 6,328.73, 9,493.09 and 2,430.40

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Solution

The fourth proportional to 6,328.73, 9,493.09 and 2,430.40 is: 3,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.73 : 9,493.09 = 2,430.40 : x
  2. Step 2: Convert to fraction form
    6,328.73/9,493.09 = 2,430.40/x
  3. Step 3: Cross multiply
    6,328.73x = 9,493.09 × 2,430.40
  4. Step 4: Simplify right side
    6,328.73x = 23,072,005.94
  5. Step 5: Solve for x
    x = 23,072,005.94/6,328.73
  6. Step 6: Final answer
    x = 3,645.60

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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.