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Finding the Fourth Proportional to 9,196.59, 13,784.02 and 3,930.06

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Solution

The fourth proportional to 9,196.59, 13,784.02 and 3,930.06 is: 5,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.59 : 13,784.02 = 3,930.06 : x
  2. Step 2: Convert to fraction form
    9,196.59/13,784.02 = 3,930.06/x
  3. Step 3: Cross multiply
    9,196.59x = 13,784.02 × 3,930.06
  4. Step 4: Simplify right side
    9,196.59x = 54,172,025.64
  5. Step 5: Solve for x
    x = 54,172,025.64/9,196.59
  6. Step 6: Final answer
    x = 5,890.45

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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.