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Finding the Fourth Proportional to 9,393.04, 14,096.64 and 6,424.39

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Solution

The fourth proportional to 9,393.04, 14,096.64 and 6,424.39 is: 9,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.04 : 14,096.64 = 6,424.39 : x
  2. Step 2: Convert to fraction form
    9,393.04/14,096.64 = 6,424.39/x
  3. Step 3: Cross multiply
    9,393.04x = 14,096.64 × 6,424.39
  4. Step 4: Simplify right side
    9,393.04x = 90,562,313.05
  5. Step 5: Solve for x
    x = 90,562,313.05/9,393.04
  6. Step 6: Final answer
    x = 9,641.43

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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.