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Finding the Fourth Proportional to 9,704.41, 14,556.71 and 5,319.47

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Solution

The fourth proportional to 9,704.41, 14,556.71 and 5,319.47 is: 7,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.41 : 14,556.71 = 5,319.47 : x
  2. Step 2: Convert to fraction form
    9,704.41/14,556.71 = 5,319.47/x
  3. Step 3: Cross multiply
    9,704.41x = 14,556.71 × 5,319.47
  4. Step 4: Simplify right side
    9,704.41x = 77,434,031.83
  5. Step 5: Solve for x
    x = 77,434,031.83/9,704.41
  6. Step 6: Final answer
    x = 7,979.26

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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.