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Finding the Fourth Proportional to 9,359.46, 12,917.46 and 5,823.80

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Solution

The fourth proportional to 9,359.46, 12,917.46 and 5,823.80 is: 8,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.46 : 12,917.46 = 5,823.80 : x
  2. Step 2: Convert to fraction form
    9,359.46/12,917.46 = 5,823.80/x
  3. Step 3: Cross multiply
    9,359.46x = 12,917.46 × 5,823.80
  4. Step 4: Simplify right side
    9,359.46x = 75,228,703.55
  5. Step 5: Solve for x
    x = 75,228,703.55/9,359.46
  6. Step 6: Final answer
    x = 8,037.72

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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.