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Finding the Fourth Proportional to 9,946.29, 13,713.86 and 7,289.09

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Solution

The fourth proportional to 9,946.29, 13,713.86 and 7,289.09 is: 10,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.29 : 13,713.86 = 7,289.09 : x
  2. Step 2: Convert to fraction form
    9,946.29/13,713.86 = 7,289.09/x
  3. Step 3: Cross multiply
    9,946.29x = 13,713.86 × 7,289.09
  4. Step 4: Simplify right side
    9,946.29x = 99,961,519.87
  5. Step 5: Solve for x
    x = 99,961,519.87/9,946.29
  6. Step 6: Final answer
    x = 10,050.13

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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.