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Finding the Fourth Proportional to 9,287.46, 13,935.46 and 4,024.08

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Solution

The fourth proportional to 9,287.46, 13,935.46 and 4,024.08 is: 6,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.46 : 13,935.46 = 4,024.08 : x
  2. Step 2: Convert to fraction form
    9,287.46/13,935.46 = 4,024.08/x
  3. Step 3: Cross multiply
    9,287.46x = 13,935.46 × 4,024.08
  4. Step 4: Simplify right side
    9,287.46x = 56,077,405.88
  5. Step 5: Solve for x
    x = 56,077,405.88/9,287.46
  6. Step 6: Final answer
    x = 6,037.97

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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.