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Finding the Fourth Proportional to 9,970.86, 13,759.07 and 5,494.35

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Solution

The fourth proportional to 9,970.86, 13,759.07 and 5,494.35 is: 7,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.86 : 13,759.07 = 5,494.35 : x
  2. Step 2: Convert to fraction form
    9,970.86/13,759.07 = 5,494.35/x
  3. Step 3: Cross multiply
    9,970.86x = 13,759.07 × 5,494.35
  4. Step 4: Simplify right side
    9,970.86x = 75,597,146.25
  5. Step 5: Solve for x
    x = 75,597,146.25/9,970.86
  6. Step 6: Final answer
    x = 7,581.81

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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.