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Finding the Fourth Proportional to 9,491.64, 14,237.86 and 3,567.92

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Solution

The fourth proportional to 9,491.64, 14,237.86 and 3,567.92 is: 5,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.64 : 14,237.86 = 3,567.92 : x
  2. Step 2: Convert to fraction form
    9,491.64/14,237.86 = 3,567.92/x
  3. Step 3: Cross multiply
    9,491.64x = 14,237.86 × 3,567.92
  4. Step 4: Simplify right side
    9,491.64x = 50,799,545.45
  5. Step 5: Solve for x
    x = 50,799,545.45/9,491.64
  6. Step 6: Final answer
    x = 5,352.03

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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.