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Finding the Fourth Proportional to 9,052.50, 13,576.16 and 3,127.84

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Solution

The fourth proportional to 9,052.50, 13,576.16 and 3,127.84 is: 4,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.50 : 13,576.16 = 3,127.84 : x
  2. Step 2: Convert to fraction form
    9,052.50/13,576.16 = 3,127.84/x
  3. Step 3: Cross multiply
    9,052.50x = 13,576.16 × 3,127.84
  4. Step 4: Simplify right side
    9,052.50x = 42,464,070.56
  5. Step 5: Solve for x
    x = 42,464,070.56/9,052.50
  6. Step 6: Final answer
    x = 4,690.87

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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.