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Finding the Fourth Proportional to 9,703.14, 14,556.56 and 3,127.56

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Solution

The fourth proportional to 9,703.14, 14,556.56 and 3,127.56 is: 4,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.14 : 14,556.56 = 3,127.56 : x
  2. Step 2: Convert to fraction form
    9,703.14/14,556.56 = 3,127.56/x
  3. Step 3: Cross multiply
    9,703.14x = 14,556.56 × 3,127.56
  4. Step 4: Simplify right side
    9,703.14x = 45,526,514.79
  5. Step 5: Solve for x
    x = 45,526,514.79/9,703.14
  6. Step 6: Final answer
    x = 4,691.94

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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.