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Finding the Fourth Proportional to 9,730.03, 13,424.97 and 5,951.82

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Solution

The fourth proportional to 9,730.03, 13,424.97 and 5,951.82 is: 8,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.03 : 13,424.97 = 5,951.82 : x
  2. Step 2: Convert to fraction form
    9,730.03/13,424.97 = 5,951.82/x
  3. Step 3: Cross multiply
    9,730.03x = 13,424.97 × 5,951.82
  4. Step 4: Simplify right side
    9,730.03x = 79,903,004.95
  5. Step 5: Solve for x
    x = 79,903,004.95/9,730.03
  6. Step 6: Final answer
    x = 8,212.00

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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.