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Finding the Fourth Proportional to 7,137.40, 9,849.94 and 4,412.56

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Solution

The fourth proportional to 7,137.40, 9,849.94 and 4,412.56 is: 6,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.40 : 9,849.94 = 4,412.56 : x
  2. Step 2: Convert to fraction form
    7,137.40/9,849.94 = 4,412.56/x
  3. Step 3: Cross multiply
    7,137.40x = 9,849.94 × 4,412.56
  4. Step 4: Simplify right side
    7,137.40x = 43,463,451.25
  5. Step 5: Solve for x
    x = 43,463,451.25/7,137.40
  6. Step 6: Final answer
    x = 6,089.54

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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.