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Finding the Fourth Proportional to 9,627.50, 14,439.03 and 3,052.46

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Solution

The fourth proportional to 9,627.50, 14,439.03 and 3,052.46 is: 4,577.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.50 : 14,439.03 = 3,052.46 : x
  2. Step 2: Convert to fraction form
    9,627.50/14,439.03 = 3,052.46/x
  3. Step 3: Cross multiply
    9,627.50x = 14,439.03 × 3,052.46
  4. Step 4: Simplify right side
    9,627.50x = 44,074,561.51
  5. Step 5: Solve for x
    x = 44,074,561.51/9,627.50
  6. Step 6: Final answer
    x = 4,577.99

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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.