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Finding the Fourth Proportional to 9,196.84, 13,784.46 and 4,816.36

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Solution

The fourth proportional to 9,196.84, 13,784.46 and 4,816.36 is: 7,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.84 : 13,784.46 = 4,816.36 : x
  2. Step 2: Convert to fraction form
    9,196.84/13,784.46 = 4,816.36/x
  3. Step 3: Cross multiply
    9,196.84x = 13,784.46 × 4,816.36
  4. Step 4: Simplify right side
    9,196.84x = 66,390,921.77
  5. Step 5: Solve for x
    x = 66,390,921.77/9,196.84
  6. Step 6: Final answer
    x = 7,218.88

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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.