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Finding the Fourth Proportional to 9,419.32, 13,000.47 and 6,232.68

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Solution

The fourth proportional to 9,419.32, 13,000.47 and 6,232.68 is: 8,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.32 : 13,000.47 = 6,232.68 : x
  2. Step 2: Convert to fraction form
    9,419.32/13,000.47 = 6,232.68/x
  3. Step 3: Cross multiply
    9,419.32x = 13,000.47 × 6,232.68
  4. Step 4: Simplify right side
    9,419.32x = 81,027,745.99
  5. Step 5: Solve for x
    x = 81,027,745.99/9,419.32
  6. Step 6: Final answer
    x = 8,602.29

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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.