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Finding the Fourth Proportional to 9,854.86, 14,782.28 and 3,612.51

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Solution

The fourth proportional to 9,854.86, 14,782.28 and 3,612.51 is: 5,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.86 : 14,782.28 = 3,612.51 : x
  2. Step 2: Convert to fraction form
    9,854.86/14,782.28 = 3,612.51/x
  3. Step 3: Cross multiply
    9,854.86x = 14,782.28 × 3,612.51
  4. Step 4: Simplify right side
    9,854.86x = 53,401,120.12
  5. Step 5: Solve for x
    x = 53,401,120.12/9,854.86
  6. Step 6: Final answer
    x = 5,418.76

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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.