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Finding the Fourth Proportional to 7,033.40, 9,705.36 and 3,889.40

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Solution

The fourth proportional to 7,033.40, 9,705.36 and 3,889.40 is: 5,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.40 : 9,705.36 = 3,889.40 : x
  2. Step 2: Convert to fraction form
    7,033.40/9,705.36 = 3,889.40/x
  3. Step 3: Cross multiply
    7,033.40x = 9,705.36 × 3,889.40
  4. Step 4: Simplify right side
    7,033.40x = 37,748,027.18
  5. Step 5: Solve for x
    x = 37,748,027.18/7,033.40
  6. Step 6: Final answer
    x = 5,366.97

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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.