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Finding the Fourth Proportional to 7,059.62, 9,742.73 and 4,075.65

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Solution

The fourth proportional to 7,059.62, 9,742.73 and 4,075.65 is: 5,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.62 : 9,742.73 = 4,075.65 : x
  2. Step 2: Convert to fraction form
    7,059.62/9,742.73 = 4,075.65/x
  3. Step 3: Cross multiply
    7,059.62x = 9,742.73 × 4,075.65
  4. Step 4: Simplify right side
    7,059.62x = 39,707,937.15
  5. Step 5: Solve for x
    x = 39,707,937.15/7,059.62
  6. Step 6: Final answer
    x = 5,624.65

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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.