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Finding the Fourth Proportional to 9,187.50, 13,782.30 and 2,945.34

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Solution

The fourth proportional to 9,187.50, 13,782.30 and 2,945.34 is: 4,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.50 : 13,782.30 = 2,945.34 : x
  2. Step 2: Convert to fraction form
    9,187.50/13,782.30 = 2,945.34/x
  3. Step 3: Cross multiply
    9,187.50x = 13,782.30 × 2,945.34
  4. Step 4: Simplify right side
    9,187.50x = 40,593,559.48
  5. Step 5: Solve for x
    x = 40,593,559.48/9,187.50
  6. Step 6: Final answer
    x = 4,418.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.