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Finding the Fourth Proportional to 6,103.12, 8,421.90 and 3,864.64

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Solution

The fourth proportional to 6,103.12, 8,421.90 and 3,864.64 is: 5,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.12 : 8,421.90 = 3,864.64 : x
  2. Step 2: Convert to fraction form
    6,103.12/8,421.90 = 3,864.64/x
  3. Step 3: Cross multiply
    6,103.12x = 8,421.90 × 3,864.64
  4. Step 4: Simplify right side
    6,103.12x = 32,547,611.62
  5. Step 5: Solve for x
    x = 32,547,611.62/6,103.12
  6. Step 6: Final answer
    x = 5,332.95

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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.