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Finding the Fourth Proportional to 9,356.22, 12,911.13 and 5,376.42

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Solution

The fourth proportional to 9,356.22, 12,911.13 and 5,376.42 is: 7,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.22 : 12,911.13 = 5,376.42 : x
  2. Step 2: Convert to fraction form
    9,356.22/12,911.13 = 5,376.42/x
  3. Step 3: Cross multiply
    9,356.22x = 12,911.13 × 5,376.42
  4. Step 4: Simplify right side
    9,356.22x = 69,415,657.55
  5. Step 5: Solve for x
    x = 69,415,657.55/9,356.22
  6. Step 6: Final answer
    x = 7,419.20

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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.