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Finding the Fourth Proportional to 6,477.80, 9,714.30 and 4,524.20

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Solution

The fourth proportional to 6,477.80, 9,714.30 and 4,524.20 is: 6,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.80 : 9,714.30 = 4,524.20 : x
  2. Step 2: Convert to fraction form
    6,477.80/9,714.30 = 4,524.20/x
  3. Step 3: Cross multiply
    6,477.80x = 9,714.30 × 4,524.20
  4. Step 4: Simplify right side
    6,477.80x = 43,949,436.06
  5. Step 5: Solve for x
    x = 43,949,436.06/6,477.80
  6. Step 6: Final answer
    x = 6,784.62

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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.