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Finding the Fourth Proportional to 9,356.54, 12,911.55 and 5,163.98

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Solution

The fourth proportional to 9,356.54, 12,911.55 and 5,163.98 is: 7,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.54 : 12,911.55 = 5,163.98 : x
  2. Step 2: Convert to fraction form
    9,356.54/12,911.55 = 5,163.98/x
  3. Step 3: Cross multiply
    9,356.54x = 12,911.55 × 5,163.98
  4. Step 4: Simplify right side
    9,356.54x = 66,674,985.97
  5. Step 5: Solve for x
    x = 66,674,985.97/9,356.54
  6. Step 6: Final answer
    x = 7,126.03

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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.