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Finding the Fourth Proportional to 9,152.97, 12,627.35 and 6,169.77

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Solution

The fourth proportional to 9,152.97, 12,627.35 and 6,169.77 is: 8,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.97 : 12,627.35 = 6,169.77 : x
  2. Step 2: Convert to fraction form
    9,152.97/12,627.35 = 6,169.77/x
  3. Step 3: Cross multiply
    9,152.97x = 12,627.35 × 6,169.77
  4. Step 4: Simplify right side
    9,152.97x = 77,907,814.36
  5. Step 5: Solve for x
    x = 77,907,814.36/9,152.97
  6. Step 6: Final answer
    x = 8,511.75

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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.