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Finding the Fourth Proportional to 6,232.34, 8,602.00 and 4,247.64

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Solution

The fourth proportional to 6,232.34, 8,602.00 and 4,247.64 is: 5,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.34 : 8,602.00 = 4,247.64 : x
  2. Step 2: Convert to fraction form
    6,232.34/8,602.00 = 4,247.64/x
  3. Step 3: Cross multiply
    6,232.34x = 8,602.00 × 4,247.64
  4. Step 4: Simplify right side
    6,232.34x = 36,538,188.66
  5. Step 5: Solve for x
    x = 36,538,188.66/6,232.34
  6. Step 6: Final answer
    x = 5,862.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.