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Finding the Fourth Proportional to 9,357.72, 12,918.33 and 5,822.07

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Solution

The fourth proportional to 9,357.72, 12,918.33 and 5,822.07 is: 8,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.72 : 12,918.33 = 5,822.07 : x
  2. Step 2: Convert to fraction form
    9,357.72/12,918.33 = 5,822.07/x
  3. Step 3: Cross multiply
    9,357.72x = 12,918.33 × 5,822.07
  4. Step 4: Simplify right side
    9,357.72x = 75,211,421.54
  5. Step 5: Solve for x
    x = 75,211,421.54/9,357.72
  6. Step 6: Final answer
    x = 8,037.37

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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.