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Finding the Fourth Proportional to 9,388.85, 12,942.79 and 7,146.81

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Solution

The fourth proportional to 9,388.85, 12,942.79 and 7,146.81 is: 9,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.85 : 12,942.79 = 7,146.81 : x
  2. Step 2: Convert to fraction form
    9,388.85/12,942.79 = 7,146.81/x
  3. Step 3: Cross multiply
    9,388.85x = 12,942.79 × 7,146.81
  4. Step 4: Simplify right side
    9,388.85x = 92,499,643.13
  5. Step 5: Solve for x
    x = 92,499,643.13/9,388.85
  6. Step 6: Final answer
    x = 9,852.08

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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.