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Finding the Fourth Proportional to 10,809.70, 16,246.95 and 9,384.10

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Solution

The fourth proportional to 10,809.70, 16,246.95 and 9,384.10 is: 14,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.70 : 16,246.95 = 9,384.10 : x
  2. Step 2: Convert to fraction form
    10,809.70/16,246.95 = 9,384.10/x
  3. Step 3: Cross multiply
    10,809.70x = 16,246.95 × 9,384.10
  4. Step 4: Simplify right side
    10,809.70x = 152,463,003.50
  5. Step 5: Solve for x
    x = 152,463,003.50/10,809.70
  6. Step 6: Final answer
    x = 14,104.28

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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.