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Finding the Fourth Proportional to 6,689.68, 9,226.16 and 4,300.04

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Solution

The fourth proportional to 6,689.68, 9,226.16 and 4,300.04 is: 5,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.68 : 9,226.16 = 4,300.04 : x
  2. Step 2: Convert to fraction form
    6,689.68/9,226.16 = 4,300.04/x
  3. Step 3: Cross multiply
    6,689.68x = 9,226.16 × 4,300.04
  4. Step 4: Simplify right side
    6,689.68x = 39,672,857.05
  5. Step 5: Solve for x
    x = 39,672,857.05/6,689.68
  6. Step 6: Final answer
    x = 5,930.46

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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.