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Finding the Fourth Proportional to 9,946.96, 13,726.20 and 5,970.28

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Solution

The fourth proportional to 9,946.96, 13,726.20 and 5,970.28 is: 8,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.96 : 13,726.20 = 5,970.28 : x
  2. Step 2: Convert to fraction form
    9,946.96/13,726.20 = 5,970.28/x
  3. Step 3: Cross multiply
    9,946.96x = 13,726.20 × 5,970.28
  4. Step 4: Simplify right side
    9,946.96x = 81,949,257.34
  5. Step 5: Solve for x
    x = 81,949,257.34/9,946.96
  6. Step 6: Final answer
    x = 8,238.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.