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Finding the Fourth Proportional to 9,340.10, 12,876.94 and 7,740.75

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Solution

The fourth proportional to 9,340.10, 12,876.94 and 7,740.75 is: 10,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.10 : 12,876.94 = 7,740.75 : x
  2. Step 2: Convert to fraction form
    9,340.10/12,876.94 = 7,740.75/x
  3. Step 3: Cross multiply
    9,340.10x = 12,876.94 × 7,740.75
  4. Step 4: Simplify right side
    9,340.10x = 99,677,173.31
  5. Step 5: Solve for x
    x = 99,677,173.31/9,340.10
  6. Step 6: Final answer
    x = 10,671.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.