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Finding the Fourth Proportional to 9,476.04, 14,199.30 and 6,006

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Solution

The fourth proportional to 9,476.04, 14,199.30 and 6,006 is: 8,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.04 : 14,199.30 = 6,006 : x
  2. Step 2: Convert to fraction form
    9,476.04/14,199.30 = 6,006/x
  3. Step 3: Cross multiply
    9,476.04x = 14,199.30 × 6,006
  4. Step 4: Simplify right side
    9,476.04x = 85,280,995.80
  5. Step 5: Solve for x
    x = 85,280,995.80/9,476.04
  6. Step 6: Final answer
    x = 8,999.64

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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.