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Finding the Fourth Proportional to 9,970.40, 13,759.31 and 5,494.08

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Solution

The fourth proportional to 9,970.40, 13,759.31 and 5,494.08 is: 7,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.40 : 13,759.31 = 5,494.08 : x
  2. Step 2: Convert to fraction form
    9,970.40/13,759.31 = 5,494.08/x
  3. Step 3: Cross multiply
    9,970.40x = 13,759.31 × 5,494.08
  4. Step 4: Simplify right side
    9,970.40x = 75,594,815.22
  5. Step 5: Solve for x
    x = 75,594,815.22/9,970.40
  6. Step 6: Final answer
    x = 7,581.93

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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.