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Finding the Fourth Proportional to 9,344.36, 12,895.16 and 5,152.62

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Solution

The fourth proportional to 9,344.36, 12,895.16 and 5,152.62 is: 7,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.36 : 12,895.16 = 5,152.62 : x
  2. Step 2: Convert to fraction form
    9,344.36/12,895.16 = 5,152.62/x
  3. Step 3: Cross multiply
    9,344.36x = 12,895.16 × 5,152.62
  4. Step 4: Simplify right side
    9,344.36x = 66,443,859.32
  5. Step 5: Solve for x
    x = 66,443,859.32/9,344.36
  6. Step 6: Final answer
    x = 7,110.58

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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.