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Finding the Fourth Proportional to 9,133.81, 12,604.66 and 4,942.06

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Solution

The fourth proportional to 9,133.81, 12,604.66 and 4,942.06 is: 6,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.81 : 12,604.66 = 4,942.06 : x
  2. Step 2: Convert to fraction form
    9,133.81/12,604.66 = 4,942.06/x
  3. Step 3: Cross multiply
    9,133.81x = 12,604.66 × 4,942.06
  4. Step 4: Simplify right side
    9,133.81x = 62,293,040.83
  5. Step 5: Solve for x
    x = 62,293,040.83/9,133.81
  6. Step 6: Final answer
    x = 6,820.05

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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.