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Finding the Fourth Proportional to 9,546.03, 14,302.10 and 3,987.14

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Solution

The fourth proportional to 9,546.03, 14,302.10 and 3,987.14 is: 5,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.03 : 14,302.10 = 3,987.14 : x
  2. Step 2: Convert to fraction form
    9,546.03/14,302.10 = 3,987.14/x
  3. Step 3: Cross multiply
    9,546.03x = 14,302.10 × 3,987.14
  4. Step 4: Simplify right side
    9,546.03x = 57,024,474.99
  5. Step 5: Solve for x
    x = 57,024,474.99/9,546.03
  6. Step 6: Final answer
    x = 5,973.64

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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.