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Finding the Fourth Proportional to 9,443.60, 13,032.50 and 5,194.84

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Solution

The fourth proportional to 9,443.60, 13,032.50 and 5,194.84 is: 7,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.60 : 13,032.50 = 5,194.84 : x
  2. Step 2: Convert to fraction form
    9,443.60/13,032.50 = 5,194.84/x
  3. Step 3: Cross multiply
    9,443.60x = 13,032.50 × 5,194.84
  4. Step 4: Simplify right side
    9,443.60x = 67,701,752.30
  5. Step 5: Solve for x
    x = 67,701,752.30/9,443.60
  6. Step 6: Final answer
    x = 7,169.06

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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.