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Finding the Fourth Proportional to 9,256.86, 13,865.85 and 6,756.39

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Solution

The fourth proportional to 9,256.86, 13,865.85 and 6,756.39 is: 10,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.86 : 13,865.85 = 6,756.39 : x
  2. Step 2: Convert to fraction form
    9,256.86/13,865.85 = 6,756.39/x
  3. Step 3: Cross multiply
    9,256.86x = 13,865.85 × 6,756.39
  4. Step 4: Simplify right side
    9,256.86x = 93,683,090.28
  5. Step 5: Solve for x
    x = 93,683,090.28/9,256.86
  6. Step 6: Final answer
    x = 10,120.40

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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.