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Finding the Fourth Proportional to 9,725.32, 14,584.38 and 5,825.44

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Solution

The fourth proportional to 9,725.32, 14,584.38 and 5,825.44 is: 8,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.32 : 14,584.38 = 5,825.44 : x
  2. Step 2: Convert to fraction form
    9,725.32/14,584.38 = 5,825.44/x
  3. Step 3: Cross multiply
    9,725.32x = 14,584.38 × 5,825.44
  4. Step 4: Simplify right side
    9,725.32x = 84,960,430.63
  5. Step 5: Solve for x
    x = 84,960,430.63/9,725.32
  6. Step 6: Final answer
    x = 8,736.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.