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Finding the Fourth Proportional to 9,970.41, 13,759.26 and 5,494.32

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Solution

The fourth proportional to 9,970.41, 13,759.26 and 5,494.32 is: 7,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.41 : 13,759.26 = 5,494.32 : x
  2. Step 2: Convert to fraction form
    9,970.41/13,759.26 = 5,494.32/x
  3. Step 3: Cross multiply
    9,970.41x = 13,759.26 × 5,494.32
  4. Step 4: Simplify right side
    9,970.41x = 75,597,860.26
  5. Step 5: Solve for x
    x = 75,597,860.26/9,970.41
  6. Step 6: Final answer
    x = 7,582.22

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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.