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Finding the Fourth Proportional to 6,430.12, 9,631.50 and 3,794.78

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Solution

The fourth proportional to 6,430.12, 9,631.50 and 3,794.78 is: 5,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.12 : 9,631.50 = 3,794.78 : x
  2. Step 2: Convert to fraction form
    6,430.12/9,631.50 = 3,794.78/x
  3. Step 3: Cross multiply
    6,430.12x = 9,631.50 × 3,794.78
  4. Step 4: Simplify right side
    6,430.12x = 36,549,423.57
  5. Step 5: Solve for x
    x = 36,549,423.57/6,430.12
  6. Step 6: Final answer
    x = 5,684.10

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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.