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Finding the Fourth Proportional to 6,430.42, 9,640.77 and 5,131.18

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Solution

The fourth proportional to 6,430.42, 9,640.77 and 5,131.18 is: 7,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.42 : 9,640.77 = 5,131.18 : x
  2. Step 2: Convert to fraction form
    6,430.42/9,640.77 = 5,131.18/x
  3. Step 3: Cross multiply
    6,430.42x = 9,640.77 × 5,131.18
  4. Step 4: Simplify right side
    6,430.42x = 49,468,526.21
  5. Step 5: Solve for x
    x = 49,468,526.21/6,430.42
  6. Step 6: Final answer
    x = 7,692.89

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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.