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Finding the Fourth Proportional to 9,503.85, 13,119.99 and 5,969.01

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Solution

The fourth proportional to 9,503.85, 13,119.99 and 5,969.01 is: 8,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.85 : 13,119.99 = 5,969.01 : x
  2. Step 2: Convert to fraction form
    9,503.85/13,119.99 = 5,969.01/x
  3. Step 3: Cross multiply
    9,503.85x = 13,119.99 × 5,969.01
  4. Step 4: Simplify right side
    9,503.85x = 78,313,285.91
  5. Step 5: Solve for x
    x = 78,313,285.91/9,503.85
  6. Step 6: Final answer
    x = 8,240.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.