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Finding the Fourth Proportional to 9,703.53, 14,556.92 and 3,040.47

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Solution

The fourth proportional to 9,703.53, 14,556.92 and 3,040.47 is: 4,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.53 : 14,556.92 = 3,040.47 : x
  2. Step 2: Convert to fraction form
    9,703.53/14,556.92 = 3,040.47/x
  3. Step 3: Cross multiply
    9,703.53x = 14,556.92 × 3,040.47
  4. Step 4: Simplify right side
    9,703.53x = 44,259,863.35
  5. Step 5: Solve for x
    x = 44,259,863.35/9,703.53
  6. Step 6: Final answer
    x = 4,561.21

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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.