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Finding the Fourth Proportional to 7,064.65, 9,749.33 and 3,878.24

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Solution

The fourth proportional to 7,064.65, 9,749.33 and 3,878.24 is: 5,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.65 : 9,749.33 = 3,878.24 : x
  2. Step 2: Convert to fraction form
    7,064.65/9,749.33 = 3,878.24/x
  3. Step 3: Cross multiply
    7,064.65x = 9,749.33 × 3,878.24
  4. Step 4: Simplify right side
    7,064.65x = 37,810,275.65
  5. Step 5: Solve for x
    x = 37,810,275.65/7,064.65
  6. Step 6: Final answer
    x = 5,352.04

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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.