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Finding the Fourth Proportional to 9,877.75, 13,636.25 and 7,634.55

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Solution

The fourth proportional to 9,877.75, 13,636.25 and 7,634.55 is: 10,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.75 : 13,636.25 = 7,634.55 : x
  2. Step 2: Convert to fraction form
    9,877.75/13,636.25 = 7,634.55/x
  3. Step 3: Cross multiply
    9,877.75x = 13,636.25 × 7,634.55
  4. Step 4: Simplify right side
    9,877.75x = 104,106,674.03
  5. Step 5: Solve for x
    x = 104,106,674.03/9,877.75
  6. Step 6: Final answer
    x = 10,539.52

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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.