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Finding the Fourth Proportional to 9,880.32, 13,633.80 and 5,900.88

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Solution

The fourth proportional to 9,880.32, 13,633.80 and 5,900.88 is: 8,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.32 : 13,633.80 = 5,900.88 : x
  2. Step 2: Convert to fraction form
    9,880.32/13,633.80 = 5,900.88/x
  3. Step 3: Cross multiply
    9,880.32x = 13,633.80 × 5,900.88
  4. Step 4: Simplify right side
    9,880.32x = 80,451,417.74
  5. Step 5: Solve for x
    x = 80,451,417.74/9,880.32
  6. Step 6: Final answer
    x = 8,142.59

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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.