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Finding the Fourth Proportional to 6,140.40, 9,194.40 and 4,833.60

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Solution

The fourth proportional to 6,140.40, 9,194.40 and 4,833.60 is: 7,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.40 : 9,194.40 = 4,833.60 : x
  2. Step 2: Convert to fraction form
    6,140.40/9,194.40 = 4,833.60/x
  3. Step 3: Cross multiply
    6,140.40x = 9,194.40 × 4,833.60
  4. Step 4: Simplify right side
    6,140.40x = 44,442,051.84
  5. Step 5: Solve for x
    x = 44,442,051.84/6,140.40
  6. Step 6: Final answer
    x = 7,237.65

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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.