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Finding the Fourth Proportional to 9,109.80, 13,654.95 and 6,504.84

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Solution

The fourth proportional to 9,109.80, 13,654.95 and 6,504.84 is: 9,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.80 : 13,654.95 = 6,504.84 : x
  2. Step 2: Convert to fraction form
    9,109.80/13,654.95 = 6,504.84/x
  3. Step 3: Cross multiply
    9,109.80x = 13,654.95 × 6,504.84
  4. Step 4: Simplify right side
    9,109.80x = 88,823,264.96
  5. Step 5: Solve for x
    x = 88,823,264.96/9,109.80
  6. Step 6: Final answer
    x = 9,750.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.