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Finding the Fourth Proportional to 9,285.09, 12,809.91 and 5,928.06

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Solution

The fourth proportional to 9,285.09, 12,809.91 and 5,928.06 is: 8,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.09 : 12,809.91 = 5,928.06 : x
  2. Step 2: Convert to fraction form
    9,285.09/12,809.91 = 5,928.06/x
  3. Step 3: Cross multiply
    9,285.09x = 12,809.91 × 5,928.06
  4. Step 4: Simplify right side
    9,285.09x = 75,937,915.07
  5. Step 5: Solve for x
    x = 75,937,915.07/9,285.09
  6. Step 6: Final answer
    x = 8,178.48

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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.