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Finding the Fourth Proportional to 25,294.32, 37,913.04 and 9,484.02

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Solution

The fourth proportional to 25,294.32, 37,913.04 and 9,484.02 is: 14,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.32 : 37,913.04 = 9,484.02 : x
  2. Step 2: Convert to fraction form
    25,294.32/37,913.04 = 9,484.02/x
  3. Step 3: Cross multiply
    25,294.32x = 37,913.04 × 9,484.02
  4. Step 4: Simplify right side
    25,294.32x = 359,568,029.62
  5. Step 5: Solve for x
    x = 359,568,029.62/25,294.32
  6. Step 6: Final answer
    x = 14,215.37

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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.