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Finding the Fourth Proportional to 7,103.88, 9,796.68 and 5,615.34

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Solution

The fourth proportional to 7,103.88, 9,796.68 and 5,615.34 is: 7,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.88 : 9,796.68 = 5,615.34 : x
  2. Step 2: Convert to fraction form
    7,103.88/9,796.68 = 5,615.34/x
  3. Step 3: Cross multiply
    7,103.88x = 9,796.68 × 5,615.34
  4. Step 4: Simplify right side
    7,103.88x = 55,011,689.07
  5. Step 5: Solve for x
    x = 55,011,689.07/7,103.88
  6. Step 6: Final answer
    x = 7,743.89

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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.