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Finding the Fourth Proportional to 9,548.10, 14,322.15 and 3,999.60

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Solution

The fourth proportional to 9,548.10, 14,322.15 and 3,999.60 is: 5,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.10 : 14,322.15 = 3,999.60 : x
  2. Step 2: Convert to fraction form
    9,548.10/14,322.15 = 3,999.60/x
  3. Step 3: Cross multiply
    9,548.10x = 14,322.15 × 3,999.60
  4. Step 4: Simplify right side
    9,548.10x = 57,282,871.14
  5. Step 5: Solve for x
    x = 57,282,871.14/9,548.10
  6. Step 6: Final answer
    x = 5,999.40

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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.