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Finding the Fourth Proportional to 9,188.48, 13,779.41 and 3,182.93

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Solution

The fourth proportional to 9,188.48, 13,779.41 and 3,182.93 is: 4,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.48 : 13,779.41 = 3,182.93 : x
  2. Step 2: Convert to fraction form
    9,188.48/13,779.41 = 3,182.93/x
  3. Step 3: Cross multiply
    9,188.48x = 13,779.41 × 3,182.93
  4. Step 4: Simplify right side
    9,188.48x = 43,858,812.66
  5. Step 5: Solve for x
    x = 43,858,812.66/9,188.48
  6. Step 6: Final answer
    x = 4,773.24

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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.