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Finding the Fourth Proportional to 9,130.96, 13,690.26 and 3,580.84

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Solution

The fourth proportional to 9,130.96, 13,690.26 and 3,580.84 is: 5,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.96 : 13,690.26 = 3,580.84 : x
  2. Step 2: Convert to fraction form
    9,130.96/13,690.26 = 3,580.84/x
  3. Step 3: Cross multiply
    9,130.96x = 13,690.26 × 3,580.84
  4. Step 4: Simplify right side
    9,130.96x = 49,022,630.62
  5. Step 5: Solve for x
    x = 49,022,630.62/9,130.96
  6. Step 6: Final answer
    x = 5,368.84

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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.