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Finding the Fourth Proportional to 6,804.64, 9,390.36 and 3,820.45

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Solution

The fourth proportional to 6,804.64, 9,390.36 and 3,820.45 is: 5,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.64 : 9,390.36 = 3,820.45 : x
  2. Step 2: Convert to fraction form
    6,804.64/9,390.36 = 3,820.45/x
  3. Step 3: Cross multiply
    6,804.64x = 9,390.36 × 3,820.45
  4. Step 4: Simplify right side
    6,804.64x = 35,875,400.86
  5. Step 5: Solve for x
    x = 35,875,400.86/6,804.64
  6. Step 6: Final answer
    x = 5,272.20

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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.