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Finding the Fourth Proportional to 9,234.42, 13,785.08 and 8,578.32

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Solution

The fourth proportional to 9,234.42, 13,785.08 and 8,578.32 is: 12,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.42 : 13,785.08 = 8,578.32 : x
  2. Step 2: Convert to fraction form
    9,234.42/13,785.08 = 8,578.32/x
  3. Step 3: Cross multiply
    9,234.42x = 13,785.08 × 8,578.32
  4. Step 4: Simplify right side
    9,234.42x = 118,252,827.47
  5. Step 5: Solve for x
    x = 118,252,827.47/9,234.42
  6. Step 6: Final answer
    x = 12,805.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.