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Finding the Fourth Proportional to 9,674.08, 13,350.92 and 5,368.58

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Solution

The fourth proportional to 9,674.08, 13,350.92 and 5,368.58 is: 7,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.08 : 13,350.92 = 5,368.58 : x
  2. Step 2: Convert to fraction form
    9,674.08/13,350.92 = 5,368.58/x
  3. Step 3: Cross multiply
    9,674.08x = 13,350.92 × 5,368.58
  4. Step 4: Simplify right side
    9,674.08x = 71,675,455.25
  5. Step 5: Solve for x
    x = 71,675,455.25/9,674.08
  6. Step 6: Final answer
    x = 7,409.02

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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.