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Finding the Fourth Proportional to 9,460.48, 14,181 and 3,615.52

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Solution

The fourth proportional to 9,460.48, 14,181 and 3,615.52 is: 5,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.48 : 14,181 = 3,615.52 : x
  2. Step 2: Convert to fraction form
    9,460.48/14,181 = 3,615.52/x
  3. Step 3: Cross multiply
    9,460.48x = 14,181 × 3,615.52
  4. Step 4: Simplify right side
    9,460.48x = 51,271,689.12
  5. Step 5: Solve for x
    x = 51,271,689.12/9,460.48
  6. Step 6: Final answer
    x = 5,419.57

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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.