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Finding the Fourth Proportional to 9,491.78, 14,237.64 and 2,566.28

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Solution

The fourth proportional to 9,491.78, 14,237.64 and 2,566.28 is: 3,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.78 : 14,237.64 = 2,566.28 : x
  2. Step 2: Convert to fraction form
    9,491.78/14,237.64 = 2,566.28/x
  3. Step 3: Cross multiply
    9,491.78x = 14,237.64 × 2,566.28
  4. Step 4: Simplify right side
    9,491.78x = 36,537,806.37
  5. Step 5: Solve for x
    x = 36,537,806.37/9,491.78
  6. Step 6: Final answer
    x = 3,849.41

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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.