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Finding the Fourth Proportional to 6,430.05, 9,646.27 and 2,920.30

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Solution

The fourth proportional to 6,430.05, 9,646.27 and 2,920.30 is: 4,380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.05 : 9,646.27 = 2,920.30 : x
  2. Step 2: Convert to fraction form
    6,430.05/9,646.27 = 2,920.30/x
  3. Step 3: Cross multiply
    6,430.05x = 9,646.27 × 2,920.30
  4. Step 4: Simplify right side
    6,430.05x = 28,170,002.28
  5. Step 5: Solve for x
    x = 28,170,002.28/6,430.05
  6. Step 6: Final answer
    x = 4,380.99

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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.