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Finding the Fourth Proportional to 9,045.44, 13,537.44 and 5,144

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Solution

The fourth proportional to 9,045.44, 13,537.44 and 5,144 is: 7,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.44 : 13,537.44 = 5,144 : x
  2. Step 2: Convert to fraction form
    9,045.44/13,537.44 = 5,144/x
  3. Step 3: Cross multiply
    9,045.44x = 13,537.44 × 5,144
  4. Step 4: Simplify right side
    9,045.44x = 69,636,591.36
  5. Step 5: Solve for x
    x = 69,636,591.36/9,045.44
  6. Step 6: Final answer
    x = 7,698.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.