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Finding the Fourth Proportional to 9,344.74, 12,894.87 and 5,152.96

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Solution

The fourth proportional to 9,344.74, 12,894.87 and 5,152.96 is: 7,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.74 : 12,894.87 = 5,152.96 : x
  2. Step 2: Convert to fraction form
    9,344.74/12,894.87 = 5,152.96/x
  3. Step 3: Cross multiply
    9,344.74x = 12,894.87 × 5,152.96
  4. Step 4: Simplify right side
    9,344.74x = 66,446,749.32
  5. Step 5: Solve for x
    x = 66,446,749.32/9,344.74
  6. Step 6: Final answer
    x = 7,110.60

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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.