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Finding the Fourth Proportional to 6,774.22, 9,346.59 and 4,650.40

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Solution

The fourth proportional to 6,774.22, 9,346.59 and 4,650.40 is: 6,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.22 : 9,346.59 = 4,650.40 : x
  2. Step 2: Convert to fraction form
    6,774.22/9,346.59 = 4,650.40/x
  3. Step 3: Cross multiply
    6,774.22x = 9,346.59 × 4,650.40
  4. Step 4: Simplify right side
    6,774.22x = 43,465,382.14
  5. Step 5: Solve for x
    x = 43,465,382.14/6,774.22
  6. Step 6: Final answer
    x = 6,416.29

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