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Finding the Fourth Proportional to 9,742.58, 13,443.95 and 5,435.41

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Solution

The fourth proportional to 9,742.58, 13,443.95 and 5,435.41 is: 7,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.58 : 13,443.95 = 5,435.41 : x
  2. Step 2: Convert to fraction form
    9,742.58/13,443.95 = 5,435.41/x
  3. Step 3: Cross multiply
    9,742.58x = 13,443.95 × 5,435.41
  4. Step 4: Simplify right side
    9,742.58x = 73,073,380.27
  5. Step 5: Solve for x
    x = 73,073,380.27/9,742.58
  6. Step 6: Final answer
    x = 7,500.41

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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.