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Finding the Fourth Proportional to 7,094.14, 9,789.60 and 4,735.96

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Solution

The fourth proportional to 7,094.14, 9,789.60 and 4,735.96 is: 6,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.14 : 9,789.60 = 4,735.96 : x
  2. Step 2: Convert to fraction form
    7,094.14/9,789.60 = 4,735.96/x
  3. Step 3: Cross multiply
    7,094.14x = 9,789.60 × 4,735.96
  4. Step 4: Simplify right side
    7,094.14x = 46,363,154.02
  5. Step 5: Solve for x
    x = 46,363,154.02/7,094.14
  6. Step 6: Final answer
    x = 6,535.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.