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Finding the Fourth Proportional to 9,952.64, 14,929.11 and 2,556.93

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Solution

The fourth proportional to 9,952.64, 14,929.11 and 2,556.93 is: 3,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.64 : 14,929.11 = 2,556.93 : x
  2. Step 2: Convert to fraction form
    9,952.64/14,929.11 = 2,556.93/x
  3. Step 3: Cross multiply
    9,952.64x = 14,929.11 × 2,556.93
  4. Step 4: Simplify right side
    9,952.64x = 38,172,689.23
  5. Step 5: Solve for x
    x = 38,172,689.23/9,952.64
  6. Step 6: Final answer
    x = 3,835.43

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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.