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Finding the Fourth Proportional to 9,154.13, 13,735.16 and 3,890.30

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Solution

The fourth proportional to 9,154.13, 13,735.16 and 3,890.30 is: 5,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.13 : 13,735.16 = 3,890.30 : x
  2. Step 2: Convert to fraction form
    9,154.13/13,735.16 = 3,890.30/x
  3. Step 3: Cross multiply
    9,154.13x = 13,735.16 × 3,890.30
  4. Step 4: Simplify right side
    9,154.13x = 53,433,842.91
  5. Step 5: Solve for x
    x = 53,433,842.91/9,154.13
  6. Step 6: Final answer
    x = 5,837.13

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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.