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Finding the Fourth Proportional to 9,152.34, 12,632.49 and 6,012.78

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Solution

The fourth proportional to 9,152.34, 12,632.49 and 6,012.78 is: 8,299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.34 : 12,632.49 = 6,012.78 : x
  2. Step 2: Convert to fraction form
    9,152.34/12,632.49 = 6,012.78/x
  3. Step 3: Cross multiply
    9,152.34x = 12,632.49 × 6,012.78
  4. Step 4: Simplify right side
    9,152.34x = 75,956,383.22
  5. Step 5: Solve for x
    x = 75,956,383.22/9,152.34
  6. Step 6: Final answer
    x = 8,299.12

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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.