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Finding the Fourth Proportional to 9,880.47, 13,634.86 and 5,404.21

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Solution

The fourth proportional to 9,880.47, 13,634.86 and 5,404.21 is: 7,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.47 : 13,634.86 = 5,404.21 : x
  2. Step 2: Convert to fraction form
    9,880.47/13,634.86 = 5,404.21/x
  3. Step 3: Cross multiply
    9,880.47x = 13,634.86 × 5,404.21
  4. Step 4: Simplify right side
    9,880.47x = 73,685,646.76
  5. Step 5: Solve for x
    x = 73,685,646.76/9,880.47
  6. Step 6: Final answer
    x = 7,457.71

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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.