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Finding the Fourth Proportional to 6,907.38, 9,532.34 and 4,075.45

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Solution

The fourth proportional to 6,907.38, 9,532.34 and 4,075.45 is: 5,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.38 : 9,532.34 = 4,075.45 : x
  2. Step 2: Convert to fraction form
    6,907.38/9,532.34 = 4,075.45/x
  3. Step 3: Cross multiply
    6,907.38x = 9,532.34 × 4,075.45
  4. Step 4: Simplify right side
    6,907.38x = 38,848,546.13
  5. Step 5: Solve for x
    x = 38,848,546.13/6,907.38
  6. Step 6: Final answer
    x = 5,624.21

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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.