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Finding the Fourth Proportional to 8,409.40, 12,614.08 and 4,663.47

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Solution

The fourth proportional to 8,409.40, 12,614.08 and 4,663.47 is: 6,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.40 : 12,614.08 = 4,663.47 : x
  2. Step 2: Convert to fraction form
    8,409.40/12,614.08 = 4,663.47/x
  3. Step 3: Cross multiply
    8,409.40x = 12,614.08 × 4,663.47
  4. Step 4: Simplify right side
    8,409.40x = 58,825,383.66
  5. Step 5: Solve for x
    x = 58,825,383.66/8,409.40
  6. Step 6: Final answer
    x = 6,995.19

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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.