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Finding the Fourth Proportional to 9,823.50, 13,556.41 and 5,347.24

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Solution

The fourth proportional to 9,823.50, 13,556.41 and 5,347.24 is: 7,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.50 : 13,556.41 = 5,347.24 : x
  2. Step 2: Convert to fraction form
    9,823.50/13,556.41 = 5,347.24/x
  3. Step 3: Cross multiply
    9,823.50x = 13,556.41 × 5,347.24
  4. Step 4: Simplify right side
    9,823.50x = 72,489,330.55
  5. Step 5: Solve for x
    x = 72,489,330.55/9,823.50
  6. Step 6: Final answer
    x = 7,379.18

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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.