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Finding the Fourth Proportional to 9,704.85, 13,397.52 and 6,577.44

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Solution

The fourth proportional to 9,704.85, 13,397.52 and 6,577.44 is: 9,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.85 : 13,397.52 = 6,577.44 : x
  2. Step 2: Convert to fraction form
    9,704.85/13,397.52 = 6,577.44/x
  3. Step 3: Cross multiply
    9,704.85x = 13,397.52 × 6,577.44
  4. Step 4: Simplify right side
    9,704.85x = 88,121,383.95
  5. Step 5: Solve for x
    x = 88,121,383.95/9,704.85
  6. Step 6: Final answer
    x = 9,080.14

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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.