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Finding the Fourth Proportional to 9,749.68, 14,596.88 and 8,826.96

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Solution

The fourth proportional to 9,749.68, 14,596.88 and 8,826.96 is: 13,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.68 : 14,596.88 = 8,826.96 : x
  2. Step 2: Convert to fraction form
    9,749.68/14,596.88 = 8,826.96/x
  3. Step 3: Cross multiply
    9,749.68x = 14,596.88 × 8,826.96
  4. Step 4: Simplify right side
    9,749.68x = 128,846,075.88
  5. Step 5: Solve for x
    x = 128,846,075.88/9,749.68
  6. Step 6: Final answer
    x = 13,215.42

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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.