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Finding the Fourth Proportional to 6,268.94, 9,403.32 and 1,525.12

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Solution

The fourth proportional to 6,268.94, 9,403.32 and 1,525.12 is: 2,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.94 : 9,403.32 = 1,525.12 : x
  2. Step 2: Convert to fraction form
    6,268.94/9,403.32 = 1,525.12/x
  3. Step 3: Cross multiply
    6,268.94x = 9,403.32 × 1,525.12
  4. Step 4: Simplify right side
    6,268.94x = 14,341,173.61
  5. Step 5: Solve for x
    x = 14,341,173.61/6,268.94
  6. Step 6: Final answer
    x = 2,287.66

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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.