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Finding the Fourth Proportional to 8,697.81, 13,047.30 and 4,314.09

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Solution

The fourth proportional to 8,697.81, 13,047.30 and 4,314.09 is: 6,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.81 : 13,047.30 = 4,314.09 : x
  2. Step 2: Convert to fraction form
    8,697.81/13,047.30 = 4,314.09/x
  3. Step 3: Cross multiply
    8,697.81x = 13,047.30 × 4,314.09
  4. Step 4: Simplify right side
    8,697.81x = 56,287,226.46
  5. Step 5: Solve for x
    x = 56,287,226.46/8,697.81
  6. Step 6: Final answer
    x = 6,471.43

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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.