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Finding the Fourth Proportional to 9,789.47, 14,684.14 and 3,548.03

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Solution

The fourth proportional to 9,789.47, 14,684.14 and 3,548.03 is: 5,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.47 : 14,684.14 = 3,548.03 : x
  2. Step 2: Convert to fraction form
    9,789.47/14,684.14 = 3,548.03/x
  3. Step 3: Cross multiply
    9,789.47x = 14,684.14 × 3,548.03
  4. Step 4: Simplify right side
    9,789.47x = 52,099,769.24
  5. Step 5: Solve for x
    x = 52,099,769.24/9,789.47
  6. Step 6: Final answer
    x = 5,322.02

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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.