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Finding the Fourth Proportional to 9,825.15, 14,756.64 and 8,422.77

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Solution

The fourth proportional to 9,825.15, 14,756.64 and 8,422.77 is: 12,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.15 : 14,756.64 = 8,422.77 : x
  2. Step 2: Convert to fraction form
    9,825.15/14,756.64 = 8,422.77/x
  3. Step 3: Cross multiply
    9,825.15x = 14,756.64 × 8,422.77
  4. Step 4: Simplify right side
    9,825.15x = 124,291,784.69
  5. Step 5: Solve for x
    x = 124,291,784.69/9,825.15
  6. Step 6: Final answer
    x = 12,650.37

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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.