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Finding the Fourth Proportional to 9,768.97, 14,630.04 and 5,012.61

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Solution

The fourth proportional to 9,768.97, 14,630.04 and 5,012.61 is: 7,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.97 : 14,630.04 = 5,012.61 : x
  2. Step 2: Convert to fraction form
    9,768.97/14,630.04 = 5,012.61/x
  3. Step 3: Cross multiply
    9,768.97x = 14,630.04 × 5,012.61
  4. Step 4: Simplify right side
    9,768.97x = 73,334,648.28
  5. Step 5: Solve for x
    x = 73,334,648.28/9,768.97
  6. Step 6: Final answer
    x = 7,506.90

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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.