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Finding the Fourth Proportional to 9,512.16, 14,233.68 and 7,853.28

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Solution

The fourth proportional to 9,512.16, 14,233.68 and 7,853.28 is: 11,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.16 : 14,233.68 = 7,853.28 : x
  2. Step 2: Convert to fraction form
    9,512.16/14,233.68 = 7,853.28/x
  3. Step 3: Cross multiply
    9,512.16x = 14,233.68 × 7,853.28
  4. Step 4: Simplify right side
    9,512.16x = 111,781,074.47
  5. Step 5: Solve for x
    x = 111,781,074.47/9,512.16
  6. Step 6: Final answer
    x = 11,751.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.