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Finding the Fourth Proportional to 9,335.42, 13,989.06 and 5,633.54

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Solution

The fourth proportional to 9,335.42, 13,989.06 and 5,633.54 is: 8,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.42 : 13,989.06 = 5,633.54 : x
  2. Step 2: Convert to fraction form
    9,335.42/13,989.06 = 5,633.54/x
  3. Step 3: Cross multiply
    9,335.42x = 13,989.06 × 5,633.54
  4. Step 4: Simplify right side
    9,335.42x = 78,807,929.07
  5. Step 5: Solve for x
    x = 78,807,929.07/9,335.42
  6. Step 6: Final answer
    x = 8,441.82

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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.