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Finding the Fourth Proportional to 9,150.98, 13,725.91 and 4,152.16

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Solution

The fourth proportional to 9,150.98, 13,725.91 and 4,152.16 is: 6,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.98 : 13,725.91 = 4,152.16 : x
  2. Step 2: Convert to fraction form
    9,150.98/13,725.91 = 4,152.16/x
  3. Step 3: Cross multiply
    9,150.98x = 13,725.91 × 4,152.16
  4. Step 4: Simplify right side
    9,150.98x = 56,992,173.46
  5. Step 5: Solve for x
    x = 56,992,173.46/9,150.98
  6. Step 6: Final answer
    x = 6,227.99

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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.