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Finding the Fourth Proportional to 9,759.93, 13,466.35 and 5,782.02

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Solution

The fourth proportional to 9,759.93, 13,466.35 and 5,782.02 is: 7,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.93 : 13,466.35 = 5,782.02 : x
  2. Step 2: Convert to fraction form
    9,759.93/13,466.35 = 5,782.02/x
  3. Step 3: Cross multiply
    9,759.93x = 13,466.35 × 5,782.02
  4. Step 4: Simplify right side
    9,759.93x = 77,862,705.03
  5. Step 5: Solve for x
    x = 77,862,705.03/9,759.93
  6. Step 6: Final answer
    x = 7,977.79

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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.