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Finding the Fourth Proportional to 9,391.79, 12,961.77 and 5,614.91

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Solution

The fourth proportional to 9,391.79, 12,961.77 and 5,614.91 is: 7,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.79 : 12,961.77 = 5,614.91 : x
  2. Step 2: Convert to fraction form
    9,391.79/12,961.77 = 5,614.91/x
  3. Step 3: Cross multiply
    9,391.79x = 12,961.77 × 5,614.91
  4. Step 4: Simplify right side
    9,391.79x = 72,779,107.18
  5. Step 5: Solve for x
    x = 72,779,107.18/9,391.79
  6. Step 6: Final answer
    x = 7,749.23

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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.