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Finding the Fourth Proportional to 9,347.60, 14,027.28 and 3,800.96

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Solution

The fourth proportional to 9,347.60, 14,027.28 and 3,800.96 is: 5,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.60 : 14,027.28 = 3,800.96 : x
  2. Step 2: Convert to fraction form
    9,347.60/14,027.28 = 3,800.96/x
  3. Step 3: Cross multiply
    9,347.60x = 14,027.28 × 3,800.96
  4. Step 4: Simplify right side
    9,347.60x = 53,317,130.19
  5. Step 5: Solve for x
    x = 53,317,130.19/9,347.60
  6. Step 6: Final answer
    x = 5,703.83

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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.