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Finding the Fourth Proportional to 9,584.93, 13,227.35 and 5,393.18

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Solution

The fourth proportional to 9,584.93, 13,227.35 and 5,393.18 is: 7,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.93 : 13,227.35 = 5,393.18 : x
  2. Step 2: Convert to fraction form
    9,584.93/13,227.35 = 5,393.18/x
  3. Step 3: Cross multiply
    9,584.93x = 13,227.35 × 5,393.18
  4. Step 4: Simplify right side
    9,584.93x = 71,337,386.37
  5. Step 5: Solve for x
    x = 71,337,386.37/9,584.93
  6. Step 6: Final answer
    x = 7,442.67

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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.