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Finding the Fourth Proportional to 9,357.12, 14,035.68 and 6,426.54

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Solution

The fourth proportional to 9,357.12, 14,035.68 and 6,426.54 is: 9,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.12 : 14,035.68 = 6,426.54 : x
  2. Step 2: Convert to fraction form
    9,357.12/14,035.68 = 6,426.54/x
  3. Step 3: Cross multiply
    9,357.12x = 14,035.68 × 6,426.54
  4. Step 4: Simplify right side
    9,357.12x = 90,200,858.95
  5. Step 5: Solve for x
    x = 90,200,858.95/9,357.12
  6. Step 6: Final answer
    x = 9,639.81

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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.