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Finding the Fourth Proportional to 6,628.69, 9,937.59 and 3,116.98

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Solution

The fourth proportional to 6,628.69, 9,937.59 and 3,116.98 is: 4,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.69 : 9,937.59 = 3,116.98 : x
  2. Step 2: Convert to fraction form
    6,628.69/9,937.59 = 3,116.98/x
  3. Step 3: Cross multiply
    6,628.69x = 9,937.59 × 3,116.98
  4. Step 4: Simplify right side
    6,628.69x = 30,975,269.28
  5. Step 5: Solve for x
    x = 30,975,269.28/6,628.69
  6. Step 6: Final answer
    x = 4,672.91

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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.