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Finding the Fourth Proportional to 9,880.34, 13,634.13 and 5,403.86

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Solution

The fourth proportional to 9,880.34, 13,634.13 and 5,403.86 is: 7,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.34 : 13,634.13 = 5,403.86 : x
  2. Step 2: Convert to fraction form
    9,880.34/13,634.13 = 5,403.86/x
  3. Step 3: Cross multiply
    9,880.34x = 13,634.13 × 5,403.86
  4. Step 4: Simplify right side
    9,880.34x = 73,676,929.74
  5. Step 5: Solve for x
    x = 73,676,929.74/9,880.34
  6. Step 6: Final answer
    x = 7,456.92

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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.