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Finding the Fourth Proportional to 9,107.18, 13,667.25 and 7,029.26

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Solution

The fourth proportional to 9,107.18, 13,667.25 and 7,029.26 is: 10,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.18 : 13,667.25 = 7,029.26 : x
  2. Step 2: Convert to fraction form
    9,107.18/13,667.25 = 7,029.26/x
  3. Step 3: Cross multiply
    9,107.18x = 13,667.25 × 7,029.26
  4. Step 4: Simplify right side
    9,107.18x = 96,070,653.74
  5. Step 5: Solve for x
    x = 96,070,653.74/9,107.18
  6. Step 6: Final answer
    x = 10,548.89

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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.