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Finding the Fourth Proportional to 7,052.65, 9,732.38 and 4,069.01

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Solution

The fourth proportional to 7,052.65, 9,732.38 and 4,069.01 is: 5,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.65 : 9,732.38 = 4,069.01 : x
  2. Step 2: Convert to fraction form
    7,052.65/9,732.38 = 4,069.01/x
  3. Step 3: Cross multiply
    7,052.65x = 9,732.38 × 4,069.01
  4. Step 4: Simplify right side
    7,052.65x = 39,601,151.54
  5. Step 5: Solve for x
    x = 39,601,151.54/7,052.65
  6. Step 6: Final answer
    x = 5,615.07

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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.