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Finding the Fourth Proportional to 6,430.07, 9,635.79 and 3,139.45

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Solution

The fourth proportional to 6,430.07, 9,635.79 and 3,139.45 is: 4,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.07 : 9,635.79 = 3,139.45 : x
  2. Step 2: Convert to fraction form
    6,430.07/9,635.79 = 3,139.45/x
  3. Step 3: Cross multiply
    6,430.07x = 9,635.79 × 3,139.45
  4. Step 4: Simplify right side
    6,430.07x = 30,251,080.92
  5. Step 5: Solve for x
    x = 30,251,080.92/6,430.07
  6. Step 6: Final answer
    x = 4,704.63

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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.