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Finding the Fourth Proportional to 9,005.34, 13,512.06 and 5,717.55

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Solution

The fourth proportional to 9,005.34, 13,512.06 and 5,717.55 is: 8,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.34 : 13,512.06 = 5,717.55 : x
  2. Step 2: Convert to fraction form
    9,005.34/13,512.06 = 5,717.55/x
  3. Step 3: Cross multiply
    9,005.34x = 13,512.06 × 5,717.55
  4. Step 4: Simplify right side
    9,005.34x = 77,255,878.65
  5. Step 5: Solve for x
    x = 77,255,878.65/9,005.34
  6. Step 6: Final answer
    x = 8,578.90

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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.