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Finding the Fourth Proportional to 6,232.80, 9,349.65 and 3,762.30

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Solution

The fourth proportional to 6,232.80, 9,349.65 and 3,762.30 is: 5,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.80 : 9,349.65 = 3,762.30 : x
  2. Step 2: Convert to fraction form
    6,232.80/9,349.65 = 3,762.30/x
  3. Step 3: Cross multiply
    6,232.80x = 9,349.65 × 3,762.30
  4. Step 4: Simplify right side
    6,232.80x = 35,176,188.20
  5. Step 5: Solve for x
    x = 35,176,188.20/6,232.80
  6. Step 6: Final answer
    x = 5,643.72

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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.