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Finding the Fourth Proportional to 9,442.87, 13,030.94 and 5,194.01

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Solution

The fourth proportional to 9,442.87, 13,030.94 and 5,194.01 is: 7,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.87 : 13,030.94 = 5,194.01 : x
  2. Step 2: Convert to fraction form
    9,442.87/13,030.94 = 5,194.01/x
  3. Step 3: Cross multiply
    9,442.87x = 13,030.94 × 5,194.01
  4. Step 4: Simplify right side
    9,442.87x = 67,682,878.23
  5. Step 5: Solve for x
    x = 67,682,878.23/9,442.87
  6. Step 6: Final answer
    x = 7,167.62

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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.