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Finding the Fourth Proportional to 9,396.84, 14,096.80 and 3,848.72

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Solution

The fourth proportional to 9,396.84, 14,096.80 and 3,848.72 is: 5,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.84 : 14,096.80 = 3,848.72 : x
  2. Step 2: Convert to fraction form
    9,396.84/14,096.80 = 3,848.72/x
  3. Step 3: Cross multiply
    9,396.84x = 14,096.80 × 3,848.72
  4. Step 4: Simplify right side
    9,396.84x = 54,254,570.42
  5. Step 5: Solve for x
    x = 54,254,570.42/9,396.84
  6. Step 6: Final answer
    x = 5,773.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.