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Finding the Fourth Proportional to 9,025.74, 12,427.83 and 7,900.38

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Solution

The fourth proportional to 9,025.74, 12,427.83 and 7,900.38 is: 10,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.74 : 12,427.83 = 7,900.38 : x
  2. Step 2: Convert to fraction form
    9,025.74/12,427.83 = 7,900.38/x
  3. Step 3: Cross multiply
    9,025.74x = 12,427.83 × 7,900.38
  4. Step 4: Simplify right side
    9,025.74x = 98,184,579.58
  5. Step 5: Solve for x
    x = 98,184,579.58/9,025.74
  6. Step 6: Final answer
    x = 10,878.29

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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.