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Finding the Fourth Proportional to 9,152.50, 13,728.06 and 2,912.26

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Solution

The fourth proportional to 9,152.50, 13,728.06 and 2,912.26 is: 4,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.50 : 13,728.06 = 2,912.26 : x
  2. Step 2: Convert to fraction form
    9,152.50/13,728.06 = 2,912.26/x
  3. Step 3: Cross multiply
    9,152.50x = 13,728.06 × 2,912.26
  4. Step 4: Simplify right side
    9,152.50x = 39,979,680.02
  5. Step 5: Solve for x
    x = 39,979,680.02/9,152.50
  6. Step 6: Final answer
    x = 4,368.17

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Why These Related Problems?

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