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Finding the Fourth Proportional to 6,232.84, 9,349.18 and 1,615.80

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Solution

The fourth proportional to 6,232.84, 9,349.18 and 1,615.80 is: 2,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.84 : 9,349.18 = 1,615.80 : x
  2. Step 2: Convert to fraction form
    6,232.84/9,349.18 = 1,615.80/x
  3. Step 3: Cross multiply
    6,232.84x = 9,349.18 × 1,615.80
  4. Step 4: Simplify right side
    6,232.84x = 15,106,405.04
  5. Step 5: Solve for x
    x = 15,106,405.04/6,232.84
  6. Step 6: Final answer
    x = 2,423.68

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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.