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Finding the Fourth Proportional to 6,463.35, 9,700.62 and 2,958.69

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Solution

The fourth proportional to 6,463.35, 9,700.62 and 2,958.69 is: 4,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.35 : 9,700.62 = 2,958.69 : x
  2. Step 2: Convert to fraction form
    6,463.35/9,700.62 = 2,958.69/x
  3. Step 3: Cross multiply
    6,463.35x = 9,700.62 × 2,958.69
  4. Step 4: Simplify right side
    6,463.35x = 28,701,127.39
  5. Step 5: Solve for x
    x = 28,701,127.39/6,463.35
  6. Step 6: Final answer
    x = 4,440.60

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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.