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Finding the Fourth Proportional to 9,502.62, 14,243.90 and 4,826.09

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Solution

The fourth proportional to 9,502.62, 14,243.90 and 4,826.09 is: 7,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.62 : 14,243.90 = 4,826.09 : x
  2. Step 2: Convert to fraction form
    9,502.62/14,243.90 = 4,826.09/x
  3. Step 3: Cross multiply
    9,502.62x = 14,243.90 × 4,826.09
  4. Step 4: Simplify right side
    9,502.62x = 68,742,248.00
  5. Step 5: Solve for x
    x = 68,742,248.00/9,502.62
  6. Step 6: Final answer
    x = 7,234.03

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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.