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Finding the Fourth Proportional to 9,124.56, 13,678.20 and 3,934.08

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Solution

The fourth proportional to 9,124.56, 13,678.20 and 3,934.08 is: 5,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.56 : 13,678.20 = 3,934.08 : x
  2. Step 2: Convert to fraction form
    9,124.56/13,678.20 = 3,934.08/x
  3. Step 3: Cross multiply
    9,124.56x = 13,678.20 × 3,934.08
  4. Step 4: Simplify right side
    9,124.56x = 53,811,133.06
  5. Step 5: Solve for x
    x = 53,811,133.06/9,124.56
  6. Step 6: Final answer
    x = 5,897.39

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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.