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Finding the Fourth Proportional to 9,115.40, 13,667.70 and 4,741.40

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Solution

The fourth proportional to 9,115.40, 13,667.70 and 4,741.40 is: 7,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.40 : 13,667.70 = 4,741.40 : x
  2. Step 2: Convert to fraction form
    9,115.40/13,667.70 = 4,741.40/x
  3. Step 3: Cross multiply
    9,115.40x = 13,667.70 × 4,741.40
  4. Step 4: Simplify right side
    9,115.40x = 64,804,032.78
  5. Step 5: Solve for x
    x = 64,804,032.78/9,115.40
  6. Step 6: Final answer
    x = 7,109.29

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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.