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Finding the Fourth Proportional to 9,509.92, 14,257.56 and 5,813.92

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Solution

The fourth proportional to 9,509.92, 14,257.56 and 5,813.92 is: 8,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.92 : 14,257.56 = 5,813.92 : x
  2. Step 2: Convert to fraction form
    9,509.92/14,257.56 = 5,813.92/x
  3. Step 3: Cross multiply
    9,509.92x = 14,257.56 × 5,813.92
  4. Step 4: Simplify right side
    9,509.92x = 82,892,313.24
  5. Step 5: Solve for x
    x = 82,892,313.24/9,509.92
  6. Step 6: Final answer
    x = 8,716.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.