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Finding the Fourth Proportional to 9,355.75, 14,033.64 and 4,738.75

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Solution

The fourth proportional to 9,355.75, 14,033.64 and 4,738.75 is: 7,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.75 : 14,033.64 = 4,738.75 : x
  2. Step 2: Convert to fraction form
    9,355.75/14,033.64 = 4,738.75/x
  3. Step 3: Cross multiply
    9,355.75x = 14,033.64 × 4,738.75
  4. Step 4: Simplify right side
    9,355.75x = 66,501,911.55
  5. Step 5: Solve for x
    x = 66,501,911.55/9,355.75
  6. Step 6: Final answer
    x = 7,108.13

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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.