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Finding the Fourth Proportional to 9,289.80, 13,934.16 and 7,826.40

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Solution

The fourth proportional to 9,289.80, 13,934.16 and 7,826.40 is: 11,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.80 : 13,934.16 = 7,826.40 : x
  2. Step 2: Convert to fraction form
    9,289.80/13,934.16 = 7,826.40/x
  3. Step 3: Cross multiply
    9,289.80x = 13,934.16 × 7,826.40
  4. Step 4: Simplify right side
    9,289.80x = 109,054,309.82
  5. Step 5: Solve for x
    x = 109,054,309.82/9,289.80
  6. Step 6: Final answer
    x = 11,739.15

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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.