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Finding the Fourth Proportional to 9,667.72, 13,347.87 and 7,425.58

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Solution

The fourth proportional to 9,667.72, 13,347.87 and 7,425.58 is: 10,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.72 : 13,347.87 = 7,425.58 : x
  2. Step 2: Convert to fraction form
    9,667.72/13,347.87 = 7,425.58/x
  3. Step 3: Cross multiply
    9,667.72x = 13,347.87 × 7,425.58
  4. Step 4: Simplify right side
    9,667.72x = 99,115,676.51
  5. Step 5: Solve for x
    x = 99,115,676.51/9,667.72
  6. Step 6: Final answer
    x = 10,252.23

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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.