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Finding the Fourth Proportional to 6,820.96, 9,411.68 and 4,301.32

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Solution

The fourth proportional to 6,820.96, 9,411.68 and 4,301.32 is: 5,935.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.96 : 9,411.68 = 4,301.32 : x
  2. Step 2: Convert to fraction form
    6,820.96/9,411.68 = 4,301.32/x
  3. Step 3: Cross multiply
    6,820.96x = 9,411.68 × 4,301.32
  4. Step 4: Simplify right side
    6,820.96x = 40,482,647.42
  5. Step 5: Solve for x
    x = 40,482,647.42/6,820.96
  6. Step 6: Final answer
    x = 5,935.04

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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.