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Finding the Fourth Proportional to 6,430.46, 9,645.10 and 2,270.26

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Solution

The fourth proportional to 6,430.46, 9,645.10 and 2,270.26 is: 3,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.46 : 9,645.10 = 2,270.26 : x
  2. Step 2: Convert to fraction form
    6,430.46/9,645.10 = 2,270.26/x
  3. Step 3: Cross multiply
    6,430.46x = 9,645.10 × 2,270.26
  4. Step 4: Simplify right side
    6,430.46x = 21,896,884.73
  5. Step 5: Solve for x
    x = 21,896,884.73/6,430.46
  6. Step 6: Final answer
    x = 3,405.18

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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.