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Finding the Fourth Proportional to 31,855.44, 47,783.28 and 9,669

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Solution

The fourth proportional to 31,855.44, 47,783.28 and 9,669 is: 14,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.44 : 47,783.28 = 9,669 : x
  2. Step 2: Convert to fraction form
    31,855.44/47,783.28 = 9,669/x
  3. Step 3: Cross multiply
    31,855.44x = 47,783.28 × 9,669
  4. Step 4: Simplify right side
    31,855.44x = 462,016,534.32
  5. Step 5: Solve for x
    x = 462,016,534.32/31,855.44
  6. Step 6: Final answer
    x = 14,503.54

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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.