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Finding the Fourth Proportional to 9,880.53, 13,636.06 and 5,631.81

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Solution

The fourth proportional to 9,880.53, 13,636.06 and 5,631.81 is: 7,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.53 : 13,636.06 = 5,631.81 : x
  2. Step 2: Convert to fraction form
    9,880.53/13,636.06 = 5,631.81/x
  3. Step 3: Cross multiply
    9,880.53x = 13,636.06 × 5,631.81
  4. Step 4: Simplify right side
    9,880.53x = 76,795,699.07
  5. Step 5: Solve for x
    x = 76,795,699.07/9,880.53
  6. Step 6: Final answer
    x = 7,772.43

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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.