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Finding the Fourth Proportional to 6,828.54, 9,421.50 and 3,844.20

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Solution

The fourth proportional to 6,828.54, 9,421.50 and 3,844.20 is: 5,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.54 : 9,421.50 = 3,844.20 : x
  2. Step 2: Convert to fraction form
    6,828.54/9,421.50 = 3,844.20/x
  3. Step 3: Cross multiply
    6,828.54x = 9,421.50 × 3,844.20
  4. Step 4: Simplify right side
    6,828.54x = 36,218,130.30
  5. Step 5: Solve for x
    x = 36,218,130.30/6,828.54
  6. Step 6: Final answer
    x = 5,303.93

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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.