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Finding the Fourth Proportional to 9,323.49, 12,865.06 and 5,289.69

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Solution

The fourth proportional to 9,323.49, 12,865.06 and 5,289.69 is: 7,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.49 : 12,865.06 = 5,289.69 : x
  2. Step 2: Convert to fraction form
    9,323.49/12,865.06 = 5,289.69/x
  3. Step 3: Cross multiply
    9,323.49x = 12,865.06 × 5,289.69
  4. Step 4: Simplify right side
    9,323.49x = 68,052,179.23
  5. Step 5: Solve for x
    x = 68,052,179.23/9,323.49
  6. Step 6: Final answer
    x = 7,299.00

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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.