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Finding the Fourth Proportional to 9,383.87, 14,075.81 and 4,117.67

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Solution

The fourth proportional to 9,383.87, 14,075.81 and 4,117.67 is: 6,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.87 : 14,075.81 = 4,117.67 : x
  2. Step 2: Convert to fraction form
    9,383.87/14,075.81 = 4,117.67/x
  3. Step 3: Cross multiply
    9,383.87x = 14,075.81 × 4,117.67
  4. Step 4: Simplify right side
    9,383.87x = 57,959,449.60
  5. Step 5: Solve for x
    x = 57,959,449.60/9,383.87
  6. Step 6: Final answer
    x = 6,176.50

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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.