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Finding the Fourth Proportional to 9,880.17, 13,633.02 and 5,631.30

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Solution

The fourth proportional to 9,880.17, 13,633.02 and 5,631.30 is: 7,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.17 : 13,633.02 = 5,631.30 : x
  2. Step 2: Convert to fraction form
    9,880.17/13,633.02 = 5,631.30/x
  3. Step 3: Cross multiply
    9,880.17x = 13,633.02 × 5,631.30
  4. Step 4: Simplify right side
    9,880.17x = 76,771,625.53
  5. Step 5: Solve for x
    x = 76,771,625.53/9,880.17
  6. Step 6: Final answer
    x = 7,770.27

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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.