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Finding the Fourth Proportional to 9,313.56, 13,970.29 and 3,766.83

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Solution

The fourth proportional to 9,313.56, 13,970.29 and 3,766.83 is: 5,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.56 : 13,970.29 = 3,766.83 : x
  2. Step 2: Convert to fraction form
    9,313.56/13,970.29 = 3,766.83/x
  3. Step 3: Cross multiply
    9,313.56x = 13,970.29 × 3,766.83
  4. Step 4: Simplify right side
    9,313.56x = 52,623,707.48
  5. Step 5: Solve for x
    x = 52,623,707.48/9,313.56
  6. Step 6: Final answer
    x = 5,650.23

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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.