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Finding the Fourth Proportional to 9,384.58, 12,945.13 and 5,847.11

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Solution

The fourth proportional to 9,384.58, 12,945.13 and 5,847.11 is: 8,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.58 : 12,945.13 = 5,847.11 : x
  2. Step 2: Convert to fraction form
    9,384.58/12,945.13 = 5,847.11/x
  3. Step 3: Cross multiply
    9,384.58x = 12,945.13 × 5,847.11
  4. Step 4: Simplify right side
    9,384.58x = 75,691,599.07
  5. Step 5: Solve for x
    x = 75,691,599.07/9,384.58
  6. Step 6: Final answer
    x = 8,065.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.