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Finding the Fourth Proportional to 6,431.57, 9,647.89 and 1,814.57

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Solution

The fourth proportional to 6,431.57, 9,647.89 and 1,814.57 is: 2,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.57 : 9,647.89 = 1,814.57 : x
  2. Step 2: Convert to fraction form
    6,431.57/9,647.89 = 1,814.57/x
  3. Step 3: Cross multiply
    6,431.57x = 9,647.89 × 1,814.57
  4. Step 4: Simplify right side
    6,431.57x = 17,506,714.45
  5. Step 5: Solve for x
    x = 17,506,714.45/6,431.57
  6. Step 6: Final answer
    x = 2,722.00

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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.