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Finding the Fourth Proportional to 9,725.17, 14,599.32 and 9,329.08

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Solution

The fourth proportional to 9,725.17, 14,599.32 and 9,329.08 is: 14,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.17 : 14,599.32 = 9,329.08 : x
  2. Step 2: Convert to fraction form
    9,725.17/14,599.32 = 9,329.08/x
  3. Step 3: Cross multiply
    9,725.17x = 14,599.32 × 9,329.08
  4. Step 4: Simplify right side
    9,725.17x = 136,198,224.23
  5. Step 5: Solve for x
    x = 136,198,224.23/9,725.17
  6. Step 6: Final answer
    x = 14,004.71

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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.