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Finding the Fourth Proportional to 9,051.57, 12,491.76 and 6,072.39

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Solution

The fourth proportional to 9,051.57, 12,491.76 and 6,072.39 is: 8,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.57 : 12,491.76 = 6,072.39 : x
  2. Step 2: Convert to fraction form
    9,051.57/12,491.76 = 6,072.39/x
  3. Step 3: Cross multiply
    9,051.57x = 12,491.76 × 6,072.39
  4. Step 4: Simplify right side
    9,051.57x = 75,854,838.51
  5. Step 5: Solve for x
    x = 75,854,838.51/9,051.57
  6. Step 6: Final answer
    x = 8,380.30

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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.