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Finding the Fourth Proportional to 9,946.25, 13,726.17 and 5,470.34

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Solution

The fourth proportional to 9,946.25, 13,726.17 and 5,470.34 is: 7,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.25 : 13,726.17 = 5,470.34 : x
  2. Step 2: Convert to fraction form
    9,946.25/13,726.17 = 5,470.34/x
  3. Step 3: Cross multiply
    9,946.25x = 13,726.17 × 5,470.34
  4. Step 4: Simplify right side
    9,946.25x = 75,086,748.17
  5. Step 5: Solve for x
    x = 75,086,748.17/9,946.25
  6. Step 6: Final answer
    x = 7,549.26

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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.