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Finding the Fourth Proportional to 9,021.22, 12,443.02 and 8,277.64

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Solution

The fourth proportional to 9,021.22, 12,443.02 and 8,277.64 is: 11,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.22 : 12,443.02 = 8,277.64 : x
  2. Step 2: Convert to fraction form
    9,021.22/12,443.02 = 8,277.64/x
  3. Step 3: Cross multiply
    9,021.22x = 12,443.02 × 8,277.64
  4. Step 4: Simplify right side
    9,021.22x = 102,998,840.07
  5. Step 5: Solve for x
    x = 102,998,840.07/9,021.22
  6. Step 6: Final answer
    x = 11,417.40

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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.