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Finding the Fourth Proportional to 9,946.75, 13,726.86 and 5,470.84

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Solution

The fourth proportional to 9,946.75, 13,726.86 and 5,470.84 is: 7,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.75 : 13,726.86 = 5,470.84 : x
  2. Step 2: Convert to fraction form
    9,946.75/13,726.86 = 5,470.84/x
  3. Step 3: Cross multiply
    9,946.75x = 13,726.86 × 5,470.84
  4. Step 4: Simplify right side
    9,946.75x = 75,097,454.76
  5. Step 5: Solve for x
    x = 75,097,454.76/9,946.75
  6. Step 6: Final answer
    x = 7,549.95

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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.