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Finding the Fourth Proportional to 9,880.35, 13,635.09 and 5,404.40

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Solution

The fourth proportional to 9,880.35, 13,635.09 and 5,404.40 is: 7,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.35 : 13,635.09 = 5,404.40 : x
  2. Step 2: Convert to fraction form
    9,880.35/13,635.09 = 5,404.40/x
  3. Step 3: Cross multiply
    9,880.35x = 13,635.09 × 5,404.40
  4. Step 4: Simplify right side
    9,880.35x = 73,689,385.20
  5. Step 5: Solve for x
    x = 73,689,385.20/9,880.35
  6. Step 6: Final answer
    x = 7,458.18

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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.