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Finding the Fourth Proportional to 9,287.61, 13,937.96 and 4,357.41

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Solution

The fourth proportional to 9,287.61, 13,937.96 and 4,357.41 is: 6,539.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.61 : 13,937.96 = 4,357.41 : x
  2. Step 2: Convert to fraction form
    9,287.61/13,937.96 = 4,357.41/x
  3. Step 3: Cross multiply
    9,287.61x = 13,937.96 × 4,357.41
  4. Step 4: Simplify right side
    9,287.61x = 60,733,406.28
  5. Step 5: Solve for x
    x = 60,733,406.28/9,287.61
  6. Step 6: Final answer
    x = 6,539.19

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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.