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Finding the Fourth Proportional to 9,583.26, 13,225.13 and 5,334.62

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Solution

The fourth proportional to 9,583.26, 13,225.13 and 5,334.62 is: 7,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.26 : 13,225.13 = 5,334.62 : x
  2. Step 2: Convert to fraction form
    9,583.26/13,225.13 = 5,334.62/x
  3. Step 3: Cross multiply
    9,583.26x = 13,225.13 × 5,334.62
  4. Step 4: Simplify right side
    9,583.26x = 70,550,950.20
  5. Step 5: Solve for x
    x = 70,550,950.20/9,583.26
  6. Step 6: Final answer
    x = 7,361.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.