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Finding the Fourth Proportional to 9,344.70, 12,895.20 and 5,807.84

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Solution

The fourth proportional to 9,344.70, 12,895.20 and 5,807.84 is: 8,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.70 : 12,895.20 = 5,807.84 : x
  2. Step 2: Convert to fraction form
    9,344.70/12,895.20 = 5,807.84/x
  3. Step 3: Cross multiply
    9,344.70x = 12,895.20 × 5,807.84
  4. Step 4: Simplify right side
    9,344.70x = 74,893,193.89
  5. Step 5: Solve for x
    x = 74,893,193.89/9,344.70
  6. Step 6: Final answer
    x = 8,014.51

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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.