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Finding the Fourth Proportional to 9,860.26, 14,783.08 and 5,963.80

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Solution

The fourth proportional to 9,860.26, 14,783.08 and 5,963.80 is: 8,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.26 : 14,783.08 = 5,963.80 : x
  2. Step 2: Convert to fraction form
    9,860.26/14,783.08 = 5,963.80/x
  3. Step 3: Cross multiply
    9,860.26x = 14,783.08 × 5,963.80
  4. Step 4: Simplify right side
    9,860.26x = 88,163,332.50
  5. Step 5: Solve for x
    x = 88,163,332.50/9,860.26
  6. Step 6: Final answer
    x = 8,941.28

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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.