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Finding the Fourth Proportional to 9,491.88, 14,237.88 and 6,225.72

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Solution

The fourth proportional to 9,491.88, 14,237.88 and 6,225.72 is: 9,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.88 : 14,237.88 = 6,225.72 : x
  2. Step 2: Convert to fraction form
    9,491.88/14,237.88 = 6,225.72/x
  3. Step 3: Cross multiply
    9,491.88x = 14,237.88 × 6,225.72
  4. Step 4: Simplify right side
    9,491.88x = 88,641,054.27
  5. Step 5: Solve for x
    x = 88,641,054.27/9,491.88
  6. Step 6: Final answer
    x = 9,338.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.