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Finding the Fourth Proportional to 9,291.21, 12,826.85 and 7,162.08

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Solution

The fourth proportional to 9,291.21, 12,826.85 and 7,162.08 is: 9,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.21 : 12,826.85 = 7,162.08 : x
  2. Step 2: Convert to fraction form
    9,291.21/12,826.85 = 7,162.08/x
  3. Step 3: Cross multiply
    9,291.21x = 12,826.85 × 7,162.08
  4. Step 4: Simplify right side
    9,291.21x = 91,866,890.04
  5. Step 5: Solve for x
    x = 91,866,890.04/9,291.21
  6. Step 6: Final answer
    x = 9,887.51

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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.