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Finding the Fourth Proportional to 9,351.75, 14,027.64 and 4,734.75

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Solution

The fourth proportional to 9,351.75, 14,027.64 and 4,734.75 is: 7,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.75 : 14,027.64 = 4,734.75 : x
  2. Step 2: Convert to fraction form
    9,351.75/14,027.64 = 4,734.75/x
  3. Step 3: Cross multiply
    9,351.75x = 14,027.64 × 4,734.75
  4. Step 4: Simplify right side
    9,351.75x = 66,417,368.49
  5. Step 5: Solve for x
    x = 66,417,368.49/9,351.75
  6. Step 6: Final answer
    x = 7,102.13

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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.