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Finding the Fourth Proportional to 9,627.53, 14,441.81 and 3,054.23

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Solution

The fourth proportional to 9,627.53, 14,441.81 and 3,054.23 is: 4,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.53 : 14,441.81 = 3,054.23 : x
  2. Step 2: Convert to fraction form
    9,627.53/14,441.81 = 3,054.23/x
  3. Step 3: Cross multiply
    9,627.53x = 14,441.81 × 3,054.23
  4. Step 4: Simplify right side
    9,627.53x = 44,108,521.88
  5. Step 5: Solve for x
    x = 44,108,521.88/9,627.53
  6. Step 6: Final answer
    x = 4,581.50

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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.