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Finding the Fourth Proportional to 6,323.99, 8,705.67 and 5,434.61

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Solution

The fourth proportional to 6,323.99, 8,705.67 and 5,434.61 is: 7,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.99 : 8,705.67 = 5,434.61 : x
  2. Step 2: Convert to fraction form
    6,323.99/8,705.67 = 5,434.61/x
  3. Step 3: Cross multiply
    6,323.99x = 8,705.67 × 5,434.61
  4. Step 4: Simplify right side
    6,323.99x = 47,311,877.71
  5. Step 5: Solve for x
    x = 47,311,877.71/6,323.99
  6. Step 6: Final answer
    x = 7,481.34

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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.