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Finding the Fourth Proportional to 8,974.46, 13,461.69 and 4,038.33

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Solution

The fourth proportional to 8,974.46, 13,461.69 and 4,038.33 is: 6,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.46 : 13,461.69 = 4,038.33 : x
  2. Step 2: Convert to fraction form
    8,974.46/13,461.69 = 4,038.33/x
  3. Step 3: Cross multiply
    8,974.46x = 13,461.69 × 4,038.33
  4. Step 4: Simplify right side
    8,974.46x = 54,362,742.79
  5. Step 5: Solve for x
    x = 54,362,742.79/8,974.46
  6. Step 6: Final answer
    x = 6,057.50

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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.