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Finding the Fourth Proportional to 7,075.62, 9,765.90 and 4,424.76

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Solution

The fourth proportional to 7,075.62, 9,765.90 and 4,424.76 is: 6,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.62 : 9,765.90 = 4,424.76 : x
  2. Step 2: Convert to fraction form
    7,075.62/9,765.90 = 4,424.76/x
  3. Step 3: Cross multiply
    7,075.62x = 9,765.90 × 4,424.76
  4. Step 4: Simplify right side
    7,075.62x = 43,211,763.68
  5. Step 5: Solve for x
    x = 43,211,763.68/7,075.62
  6. Step 6: Final answer
    x = 6,107.13

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