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Finding the Fourth Proportional to 9,442.56, 13,028.40 and 5,904

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Solution

The fourth proportional to 9,442.56, 13,028.40 and 5,904 is: 8,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.56 : 13,028.40 = 5,904 : x
  2. Step 2: Convert to fraction form
    9,442.56/13,028.40 = 5,904/x
  3. Step 3: Cross multiply
    9,442.56x = 13,028.40 × 5,904
  4. Step 4: Simplify right side
    9,442.56x = 76,919,673.60
  5. Step 5: Solve for x
    x = 76,919,673.60/9,442.56
  6. Step 6: Final answer
    x = 8,146.06

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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.