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Finding the Fourth Proportional to 9,509.94, 14,267.19 and 2,847

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Solution

The fourth proportional to 9,509.94, 14,267.19 and 2,847 is: 4,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.94 : 14,267.19 = 2,847 : x
  2. Step 2: Convert to fraction form
    9,509.94/14,267.19 = 2,847/x
  3. Step 3: Cross multiply
    9,509.94x = 14,267.19 × 2,847
  4. Step 4: Simplify right side
    9,509.94x = 40,618,689.93
  5. Step 5: Solve for x
    x = 40,618,689.93/9,509.94
  6. Step 6: Final answer
    x = 4,271.18

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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.