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Finding the Fourth Proportional to 9,670.27, 13,346.19 and 5,894.62

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Solution

The fourth proportional to 9,670.27, 13,346.19 and 5,894.62 is: 8,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.27 : 13,346.19 = 5,894.62 : x
  2. Step 2: Convert to fraction form
    9,670.27/13,346.19 = 5,894.62/x
  3. Step 3: Cross multiply
    9,670.27x = 13,346.19 × 5,894.62
  4. Step 4: Simplify right side
    9,670.27x = 78,670,689.02
  5. Step 5: Solve for x
    x = 78,670,689.02/9,670.27
  6. Step 6: Final answer
    x = 8,135.31

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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.