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Finding the Fourth Proportional to 7,075.44, 9,763.38 and 4,423.14

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Solution

The fourth proportional to 7,075.44, 9,763.38 and 4,423.14 is: 6,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.44 : 9,763.38 = 4,423.14 : x
  2. Step 2: Convert to fraction form
    7,075.44/9,763.38 = 4,423.14/x
  3. Step 3: Cross multiply
    7,075.44x = 9,763.38 × 4,423.14
  4. Step 4: Simplify right side
    7,075.44x = 43,184,796.61
  5. Step 5: Solve for x
    x = 43,184,796.61/7,075.44
  6. Step 6: Final answer
    x = 6,103.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.