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Finding the Fourth Proportional to 9,460.78, 12,961.33 and 9,106.08

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Solution

The fourth proportional to 9,460.78, 12,961.33 and 9,106.08 is: 12,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.78 : 12,961.33 = 9,106.08 : x
  2. Step 2: Convert to fraction form
    9,460.78/12,961.33 = 9,106.08/x
  3. Step 3: Cross multiply
    9,460.78x = 12,961.33 × 9,106.08
  4. Step 4: Simplify right side
    9,460.78x = 118,026,836.52
  5. Step 5: Solve for x
    x = 118,026,836.52/9,460.78
  6. Step 6: Final answer
    x = 12,475.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.