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Finding the Fourth Proportional to 9,334.40, 14,004 and 3,491.04

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Solution

The fourth proportional to 9,334.40, 14,004 and 3,491.04 is: 5,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.40 : 14,004 = 3,491.04 : x
  2. Step 2: Convert to fraction form
    9,334.40/14,004 = 3,491.04/x
  3. Step 3: Cross multiply
    9,334.40x = 14,004 × 3,491.04
  4. Step 4: Simplify right side
    9,334.40x = 48,888,524.16
  5. Step 5: Solve for x
    x = 48,888,524.16/9,334.40
  6. Step 6: Final answer
    x = 5,237.46

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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.