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Finding the Fourth Proportional to 6,147.54, 9,230.60 and 4,911.28

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Solution

The fourth proportional to 6,147.54, 9,230.60 and 4,911.28 is: 7,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.54 : 9,230.60 = 4,911.28 : x
  2. Step 2: Convert to fraction form
    6,147.54/9,230.60 = 4,911.28/x
  3. Step 3: Cross multiply
    6,147.54x = 9,230.60 × 4,911.28
  4. Step 4: Simplify right side
    6,147.54x = 45,334,061.17
  5. Step 5: Solve for x
    x = 45,334,061.17/6,147.54
  6. Step 6: Final answer
    x = 7,374.34

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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.