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Finding the Fourth Proportional to 9,267.10, 12,783.41 and 5,486.58

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Solution

The fourth proportional to 9,267.10, 12,783.41 and 5,486.58 is: 7,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.10 : 12,783.41 = 5,486.58 : x
  2. Step 2: Convert to fraction form
    9,267.10/12,783.41 = 5,486.58/x
  3. Step 3: Cross multiply
    9,267.10x = 12,783.41 × 5,486.58
  4. Step 4: Simplify right side
    9,267.10x = 70,137,201.64
  5. Step 5: Solve for x
    x = 70,137,201.64/9,267.10
  6. Step 6: Final answer
    x = 7,568.41

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