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Finding the Fourth Proportional to 9,799.76, 13,516.96 and 6,261.40

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Solution

The fourth proportional to 9,799.76, 13,516.96 and 6,261.40 is: 8,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.76 : 13,516.96 = 6,261.40 : x
  2. Step 2: Convert to fraction form
    9,799.76/13,516.96 = 6,261.40/x
  3. Step 3: Cross multiply
    9,799.76x = 13,516.96 × 6,261.40
  4. Step 4: Simplify right side
    9,799.76x = 84,635,093.34
  5. Step 5: Solve for x
    x = 84,635,093.34/9,799.76
  6. Step 6: Final answer
    x = 8,636.45

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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.