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Finding the Fourth Proportional to 9,802.08, 14,702.94 and 3,958.56

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Solution

The fourth proportional to 9,802.08, 14,702.94 and 3,958.56 is: 5,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.08 : 14,702.94 = 3,958.56 : x
  2. Step 2: Convert to fraction form
    9,802.08/14,702.94 = 3,958.56/x
  3. Step 3: Cross multiply
    9,802.08x = 14,702.94 × 3,958.56
  4. Step 4: Simplify right side
    9,802.08x = 58,202,470.17
  5. Step 5: Solve for x
    x = 58,202,470.17/9,802.08
  6. Step 6: Final answer
    x = 5,937.77

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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.