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Finding the Fourth Proportional to 9,343.30, 14,023.15 and 5,188

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Solution

The fourth proportional to 9,343.30, 14,023.15 and 5,188 is: 7,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.30 : 14,023.15 = 5,188 : x
  2. Step 2: Convert to fraction form
    9,343.30/14,023.15 = 5,188/x
  3. Step 3: Cross multiply
    9,343.30x = 14,023.15 × 5,188
  4. Step 4: Simplify right side
    9,343.30x = 72,752,102.20
  5. Step 5: Solve for x
    x = 72,752,102.20/9,343.30
  6. Step 6: Final answer
    x = 7,786.55

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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.