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Finding the Fourth Proportional to 6,430.42, 9,630.51 and 3,133.18

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Solution

The fourth proportional to 6,430.42, 9,630.51 and 3,133.18 is: 4,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.42 : 9,630.51 = 3,133.18 : x
  2. Step 2: Convert to fraction form
    6,430.42/9,630.51 = 3,133.18/x
  3. Step 3: Cross multiply
    6,430.42x = 9,630.51 × 3,133.18
  4. Step 4: Simplify right side
    6,430.42x = 30,174,121.32
  5. Step 5: Solve for x
    x = 30,174,121.32/6,430.42
  6. Step 6: Final answer
    x = 4,692.40

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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.