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Finding the Fourth Proportional to 7,064.02, 9,745.73 and 5,449.38

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Solution

The fourth proportional to 7,064.02, 9,745.73 and 5,449.38 is: 7,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.02 : 9,745.73 = 5,449.38 : x
  2. Step 2: Convert to fraction form
    7,064.02/9,745.73 = 5,449.38/x
  3. Step 3: Cross multiply
    7,064.02x = 9,745.73 × 5,449.38
  4. Step 4: Simplify right side
    7,064.02x = 53,108,186.15
  5. Step 5: Solve for x
    x = 53,108,186.15/7,064.02
  6. Step 6: Final answer
    x = 7,518.13

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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.