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Finding the Fourth Proportional to 35,542.64, 53,317.04 and 9,247.40

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Solution

The fourth proportional to 35,542.64, 53,317.04 and 9,247.40 is: 13,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542.64 : 53,317.04 = 9,247.40 : x
  2. Step 2: Convert to fraction form
    35,542.64/53,317.04 = 9,247.40/x
  3. Step 3: Cross multiply
    35,542.64x = 53,317.04 × 9,247.40
  4. Step 4: Simplify right side
    35,542.64x = 493,043,995.70
  5. Step 5: Solve for x
    x = 493,043,995.70/35,542.64
  6. Step 6: Final answer
    x = 13,871.90

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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.