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Finding the Fourth Proportional to 9,151.10, 12,846.10 and 9,151.10

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Solution

The fourth proportional to 9,151.10, 12,846.10 and 9,151.10 is: 12,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.10 : 12,846.10 = 9,151.10 : x
  2. Step 2: Convert to fraction form
    9,151.10/12,846.10 = 9,151.10/x
  3. Step 3: Cross multiply
    9,151.10x = 12,846.10 × 9,151.10
  4. Step 4: Simplify right side
    9,151.10x = 117,555,945.71
  5. Step 5: Solve for x
    x = 117,555,945.71/9,151.10
  6. Step 6: Final answer
    x = 12,846.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.