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Finding the Fourth Proportional to 9,717.88, 14,556.94 and 4,772.02

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Solution

The fourth proportional to 9,717.88, 14,556.94 and 4,772.02 is: 7,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.88 : 14,556.94 = 4,772.02 : x
  2. Step 2: Convert to fraction form
    9,717.88/14,556.94 = 4,772.02/x
  3. Step 3: Cross multiply
    9,717.88x = 14,556.94 × 4,772.02
  4. Step 4: Simplify right side
    9,717.88x = 69,466,008.82
  5. Step 5: Solve for x
    x = 69,466,008.82/9,717.88
  6. Step 6: Final answer
    x = 7,148.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.