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Finding the Fourth Proportional to 9,491.57, 14,237.40 and 6,225.35

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Solution

The fourth proportional to 9,491.57, 14,237.40 and 6,225.35 is: 9,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.57 : 14,237.40 = 6,225.35 : x
  2. Step 2: Convert to fraction form
    9,491.57/14,237.40 = 6,225.35/x
  3. Step 3: Cross multiply
    9,491.57x = 14,237.40 × 6,225.35
  4. Step 4: Simplify right side
    9,491.57x = 88,632,726.90
  5. Step 5: Solve for x
    x = 88,632,726.90/9,491.57
  6. Step 6: Final answer
    x = 9,338.05

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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.