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Finding the Fourth Proportional to 9,509.68, 14,247.44 and 5,612

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Solution

The fourth proportional to 9,509.68, 14,247.44 and 5,612 is: 8,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.68 : 14,247.44 = 5,612 : x
  2. Step 2: Convert to fraction form
    9,509.68/14,247.44 = 5,612/x
  3. Step 3: Cross multiply
    9,509.68x = 14,247.44 × 5,612
  4. Step 4: Simplify right side
    9,509.68x = 79,956,633.28
  5. Step 5: Solve for x
    x = 79,956,633.28/9,509.68
  6. Step 6: Final answer
    x = 8,407.92

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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.