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Finding the Fourth Proportional to 6,464.80, 9,705.40 and 5,497.05

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Solution

The fourth proportional to 6,464.80, 9,705.40 and 5,497.05 is: 8,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.80 : 9,705.40 = 5,497.05 : x
  2. Step 2: Convert to fraction form
    6,464.80/9,705.40 = 5,497.05/x
  3. Step 3: Cross multiply
    6,464.80x = 9,705.40 × 5,497.05
  4. Step 4: Simplify right side
    6,464.80x = 53,351,068.05
  5. Step 5: Solve for x
    x = 53,351,068.05/6,464.80
  6. Step 6: Final answer
    x = 8,252.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.