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Finding the Fourth Proportional to 6,522.60, 9,736.17 and 5,604.06

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Solution

The fourth proportional to 6,522.60, 9,736.17 and 5,604.06 is: 8,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.60 : 9,736.17 = 5,604.06 : x
  2. Step 2: Convert to fraction form
    6,522.60/9,736.17 = 5,604.06/x
  3. Step 3: Cross multiply
    6,522.60x = 9,736.17 × 5,604.06
  4. Step 4: Simplify right side
    6,522.60x = 54,562,080.85
  5. Step 5: Solve for x
    x = 54,562,080.85/6,522.60
  6. Step 6: Final answer
    x = 8,365.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.