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Finding the Fourth Proportional to 9,725.99, 14,591.28 and 3,152.16

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Solution

The fourth proportional to 9,725.99, 14,591.28 and 3,152.16 is: 4,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.99 : 14,591.28 = 3,152.16 : x
  2. Step 2: Convert to fraction form
    9,725.99/14,591.28 = 3,152.16/x
  3. Step 3: Cross multiply
    9,725.99x = 14,591.28 × 3,152.16
  4. Step 4: Simplify right side
    9,725.99x = 45,994,049.16
  5. Step 5: Solve for x
    x = 45,994,049.16/9,725.99
  6. Step 6: Final answer
    x = 4,728.99

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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.