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Finding the Fourth Proportional to 6,232.38, 9,349.29 and 1,615.74

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Solution

The fourth proportional to 6,232.38, 9,349.29 and 1,615.74 is: 2,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.38 : 9,349.29 = 1,615.74 : x
  2. Step 2: Convert to fraction form
    6,232.38/9,349.29 = 1,615.74/x
  3. Step 3: Cross multiply
    6,232.38x = 9,349.29 × 1,615.74
  4. Step 4: Simplify right side
    6,232.38x = 15,106,021.82
  5. Step 5: Solve for x
    x = 15,106,021.82/6,232.38
  6. Step 6: Final answer
    x = 2,423.80

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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.