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Finding the Fourth Proportional to 9,207.30, 13,817.97 and 6,748.41

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Solution

The fourth proportional to 9,207.30, 13,817.97 and 6,748.41 is: 10,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.30 : 13,817.97 = 6,748.41 : x
  2. Step 2: Convert to fraction form
    9,207.30/13,817.97 = 6,748.41/x
  3. Step 3: Cross multiply
    9,207.30x = 13,817.97 × 6,748.41
  4. Step 4: Simplify right side
    9,207.30x = 93,249,326.93
  5. Step 5: Solve for x
    x = 93,249,326.93/9,207.30
  6. Step 6: Final answer
    x = 10,127.76

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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.