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Finding the Fourth Proportional to 9,109.60, 13,659.35 and 3,184.90

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Solution

The fourth proportional to 9,109.60, 13,659.35 and 3,184.90 is: 4,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.60 : 13,659.35 = 3,184.90 : x
  2. Step 2: Convert to fraction form
    9,109.60/13,659.35 = 3,184.90/x
  3. Step 3: Cross multiply
    9,109.60x = 13,659.35 × 3,184.90
  4. Step 4: Simplify right side
    9,109.60x = 43,503,637.63
  5. Step 5: Solve for x
    x = 43,503,637.63/9,109.60
  6. Step 6: Final answer
    x = 4,775.58

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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.