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Finding the Fourth Proportional to 9,344.64, 12,895.36 and 5,152.80

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Solution

The fourth proportional to 9,344.64, 12,895.36 and 5,152.80 is: 7,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.64 : 12,895.36 = 5,152.80 : x
  2. Step 2: Convert to fraction form
    9,344.64/12,895.36 = 5,152.80/x
  3. Step 3: Cross multiply
    9,344.64x = 12,895.36 × 5,152.80
  4. Step 4: Simplify right side
    9,344.64x = 66,447,211.01
  5. Step 5: Solve for x
    x = 66,447,211.01/9,344.64
  6. Step 6: Final answer
    x = 7,110.73

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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.