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Finding the Fourth Proportional to 7,033.71, 9,707.82 and 4,518.96

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Solution

The fourth proportional to 7,033.71, 9,707.82 and 4,518.96 is: 6,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.71 : 9,707.82 = 4,518.96 : x
  2. Step 2: Convert to fraction form
    7,033.71/9,707.82 = 4,518.96/x
  3. Step 3: Cross multiply
    7,033.71x = 9,707.82 × 4,518.96
  4. Step 4: Simplify right side
    7,033.71x = 43,869,251.94
  5. Step 5: Solve for x
    x = 43,869,251.94/7,033.71
  6. Step 6: Final answer
    x = 6,237.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.