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Finding the Fourth Proportional to 6,305, 9,455.52 and 1,921.12

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Solution

The fourth proportional to 6,305, 9,455.52 and 1,921.12 is: 2,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305 : 9,455.52 = 1,921.12 : x
  2. Step 2: Convert to fraction form
    6,305/9,455.52 = 1,921.12/x
  3. Step 3: Cross multiply
    6,305x = 9,455.52 × 1,921.12
  4. Step 4: Simplify right side
    6,305x = 18,165,188.58
  5. Step 5: Solve for x
    x = 18,165,188.58/6,305
  6. Step 6: Final answer
    x = 2,881.08

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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.