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Finding the Fourth Proportional to 9,216.10, 13,829.01 and 5,525.74

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Solution

The fourth proportional to 9,216.10, 13,829.01 and 5,525.74 is: 8,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.10 : 13,829.01 = 5,525.74 : x
  2. Step 2: Convert to fraction form
    9,216.10/13,829.01 = 5,525.74/x
  3. Step 3: Cross multiply
    9,216.10x = 13,829.01 × 5,525.74
  4. Step 4: Simplify right side
    9,216.10x = 76,415,513.72
  5. Step 5: Solve for x
    x = 76,415,513.72/9,216.10
  6. Step 6: Final answer
    x = 8,291.52

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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.