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Finding the Fourth Proportional to 9,325.14, 13,962.84 and 7,848.96

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Solution

The fourth proportional to 9,325.14, 13,962.84 and 7,848.96 is: 11,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.14 : 13,962.84 = 7,848.96 : x
  2. Step 2: Convert to fraction form
    9,325.14/13,962.84 = 7,848.96/x
  3. Step 3: Cross multiply
    9,325.14x = 13,962.84 × 7,848.96
  4. Step 4: Simplify right side
    9,325.14x = 109,593,772.65
  5. Step 5: Solve for x
    x = 109,593,772.65/9,325.14
  6. Step 6: Final answer
    x = 11,752.51

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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.