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Finding the Fourth Proportional to 9,291.81, 13,938.72 and 4,027.38

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Solution

The fourth proportional to 9,291.81, 13,938.72 and 4,027.38 is: 6,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.81 : 13,938.72 = 4,027.38 : x
  2. Step 2: Convert to fraction form
    9,291.81/13,938.72 = 4,027.38/x
  3. Step 3: Cross multiply
    9,291.81x = 13,938.72 × 4,027.38
  4. Step 4: Simplify right side
    9,291.81x = 56,136,522.15
  5. Step 5: Solve for x
    x = 56,136,522.15/9,291.81
  6. Step 6: Final answer
    x = 6,041.51

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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.