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Finding the Fourth Proportional to 6,714.99, 9,263.70 and 4,474.68

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Solution

The fourth proportional to 6,714.99, 9,263.70 and 4,474.68 is: 6,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.99 : 9,263.70 = 4,474.68 : x
  2. Step 2: Convert to fraction form
    6,714.99/9,263.70 = 4,474.68/x
  3. Step 3: Cross multiply
    6,714.99x = 9,263.70 × 4,474.68
  4. Step 4: Simplify right side
    6,714.99x = 41,452,093.12
  5. Step 5: Solve for x
    x = 41,452,093.12/6,714.99
  6. Step 6: Final answer
    x = 6,173.07

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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.