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Finding the Fourth Proportional to 9,192.32, 13,784.16 and 3,032

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Solution

The fourth proportional to 9,192.32, 13,784.16 and 3,032 is: 4,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.32 : 13,784.16 = 3,032 : x
  2. Step 2: Convert to fraction form
    9,192.32/13,784.16 = 3,032/x
  3. Step 3: Cross multiply
    9,192.32x = 13,784.16 × 3,032
  4. Step 4: Simplify right side
    9,192.32x = 41,793,573.12
  5. Step 5: Solve for x
    x = 41,793,573.12/9,192.32
  6. Step 6: Final answer
    x = 4,546.58

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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.