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Finding the Fourth Proportional to 9,278.22, 13,902.93 and 7,325.58

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Solution

The fourth proportional to 9,278.22, 13,902.93 and 7,325.58 is: 10,977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.22 : 13,902.93 = 7,325.58 : x
  2. Step 2: Convert to fraction form
    9,278.22/13,902.93 = 7,325.58/x
  3. Step 3: Cross multiply
    9,278.22x = 13,902.93 × 7,325.58
  4. Step 4: Simplify right side
    9,278.22x = 101,847,025.95
  5. Step 5: Solve for x
    x = 101,847,025.95/9,278.22
  6. Step 6: Final answer
    x = 10,977.00

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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.