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Finding the Fourth Proportional to 6,194.40, 9,291.60 and 4,347.60

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Solution

The fourth proportional to 6,194.40, 9,291.60 and 4,347.60 is: 6,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.40 : 9,291.60 = 4,347.60 : x
  2. Step 2: Convert to fraction form
    6,194.40/9,291.60 = 4,347.60/x
  3. Step 3: Cross multiply
    6,194.40x = 9,291.60 × 4,347.60
  4. Step 4: Simplify right side
    6,194.40x = 40,396,160.16
  5. Step 5: Solve for x
    x = 40,396,160.16/6,194.40
  6. Step 6: Final answer
    x = 6,521.40

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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.