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Finding the Fourth Proportional to 10,425.46, 14,383.02 and 6,439.58

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Solution

The fourth proportional to 10,425.46, 14,383.02 and 6,439.58 is: 8,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.46 : 14,383.02 = 6,439.58 : x
  2. Step 2: Convert to fraction form
    10,425.46/14,383.02 = 6,439.58/x
  3. Step 3: Cross multiply
    10,425.46x = 14,383.02 × 6,439.58
  4. Step 4: Simplify right side
    10,425.46x = 92,620,607.93
  5. Step 5: Solve for x
    x = 92,620,607.93/10,425.46
  6. Step 6: Final answer
    x = 8,884.08

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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.