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Finding the Fourth Proportional to 6,477.04, 9,714.32 and 2,093.44

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Solution

The fourth proportional to 6,477.04, 9,714.32 and 2,093.44 is: 3,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.04 : 9,714.32 = 2,093.44 : x
  2. Step 2: Convert to fraction form
    6,477.04/9,714.32 = 2,093.44/x
  3. Step 3: Cross multiply
    6,477.04x = 9,714.32 × 2,093.44
  4. Step 4: Simplify right side
    6,477.04x = 20,336,346.06
  5. Step 5: Solve for x
    x = 20,336,346.06/6,477.04
  6. Step 6: Final answer
    x = 3,139.76

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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.