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Finding the Fourth Proportional to 9,444, 13,033.98 and 5,464.38

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Solution

The fourth proportional to 9,444, 13,033.98 and 5,464.38 is: 7,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444 : 13,033.98 = 5,464.38 : x
  2. Step 2: Convert to fraction form
    9,444/13,033.98 = 5,464.38/x
  3. Step 3: Cross multiply
    9,444x = 13,033.98 × 5,464.38
  4. Step 4: Simplify right side
    9,444x = 71,222,619.63
  5. Step 5: Solve for x
    x = 71,222,619.63/9,444
  6. Step 6: Final answer
    x = 7,541.57

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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.