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Finding the Fourth Proportional to 9,235.84, 13,855.92 and 6,315.52

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Solution

The fourth proportional to 9,235.84, 13,855.92 and 6,315.52 is: 9,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.84 : 13,855.92 = 6,315.52 : x
  2. Step 2: Convert to fraction form
    9,235.84/13,855.92 = 6,315.52/x
  3. Step 3: Cross multiply
    9,235.84x = 13,855.92 × 6,315.52
  4. Step 4: Simplify right side
    9,235.84x = 87,507,339.88
  5. Step 5: Solve for x
    x = 87,507,339.88/9,235.84
  6. Step 6: Final answer
    x = 9,474.76

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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.