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Finding the Fourth Proportional to 9,708.45, 14,540.81 and 5,804.67

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Solution

The fourth proportional to 9,708.45, 14,540.81 and 5,804.67 is: 8,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.45 : 14,540.81 = 5,804.67 : x
  2. Step 2: Convert to fraction form
    9,708.45/14,540.81 = 5,804.67/x
  3. Step 3: Cross multiply
    9,708.45x = 14,540.81 × 5,804.67
  4. Step 4: Simplify right side
    9,708.45x = 84,404,574.56
  5. Step 5: Solve for x
    x = 84,404,574.56/9,708.45
  6. Step 6: Final answer
    x = 8,693.93

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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.