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Finding the Fourth Proportional to 9,216.86, 13,829.74 and 4,534.33

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Solution

The fourth proportional to 9,216.86, 13,829.74 and 4,534.33 is: 6,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.86 : 13,829.74 = 4,534.33 : x
  2. Step 2: Convert to fraction form
    9,216.86/13,829.74 = 4,534.33/x
  3. Step 3: Cross multiply
    9,216.86x = 13,829.74 × 4,534.33
  4. Step 4: Simplify right side
    9,216.86x = 62,708,604.97
  5. Step 5: Solve for x
    x = 62,708,604.97/9,216.86
  6. Step 6: Final answer
    x = 6,803.68

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