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Finding the Fourth Proportional to 6,441.16, 8,934.25 and 6,270.40

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Solution

The fourth proportional to 6,441.16, 8,934.25 and 6,270.40 is: 8,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.16 : 8,934.25 = 6,270.40 : x
  2. Step 2: Convert to fraction form
    6,441.16/8,934.25 = 6,270.40/x
  3. Step 3: Cross multiply
    6,441.16x = 8,934.25 × 6,270.40
  4. Step 4: Simplify right side
    6,441.16x = 56,021,321.20
  5. Step 5: Solve for x
    x = 56,021,321.20/6,441.16
  6. Step 6: Final answer
    x = 8,697.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.