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Finding the Fourth Proportional to 7,075.80, 9,768.06 and 4,424.67

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Solution

The fourth proportional to 7,075.80, 9,768.06 and 4,424.67 is: 6,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.80 : 9,768.06 = 4,424.67 : x
  2. Step 2: Convert to fraction form
    7,075.80/9,768.06 = 4,424.67/x
  3. Step 3: Cross multiply
    7,075.80x = 9,768.06 × 4,424.67
  4. Step 4: Simplify right side
    7,075.80x = 43,220,442.04
  5. Step 5: Solve for x
    x = 43,220,442.04/7,075.80
  6. Step 6: Final answer
    x = 6,108.21

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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.