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Finding the Fourth Proportional to 9,289.17, 12,819 and 5,040.33

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Solution

The fourth proportional to 9,289.17, 12,819 and 5,040.33 is: 6,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.17 : 12,819 = 5,040.33 : x
  2. Step 2: Convert to fraction form
    9,289.17/12,819 = 5,040.33/x
  3. Step 3: Cross multiply
    9,289.17x = 12,819 × 5,040.33
  4. Step 4: Simplify right side
    9,289.17x = 64,611,990.27
  5. Step 5: Solve for x
    x = 64,611,990.27/9,289.17
  6. Step 6: Final answer
    x = 6,955.63

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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.