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Finding the Fourth Proportional to 9,442.50, 14,165.79 and 3,202.68

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Solution

The fourth proportional to 9,442.50, 14,165.79 and 3,202.68 is: 4,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.50 : 14,165.79 = 3,202.68 : x
  2. Step 2: Convert to fraction form
    9,442.50/14,165.79 = 3,202.68/x
  3. Step 3: Cross multiply
    9,442.50x = 14,165.79 × 3,202.68
  4. Step 4: Simplify right side
    9,442.50x = 45,368,492.32
  5. Step 5: Solve for x
    x = 45,368,492.32/9,442.50
  6. Step 6: Final answer
    x = 4,804.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.