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Finding the Fourth Proportional to 35,734.60, 53,604.48 and 9,439

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Solution

The fourth proportional to 35,734.60, 53,604.48 and 9,439 is: 14,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734.60 : 53,604.48 = 9,439 : x
  2. Step 2: Convert to fraction form
    35,734.60/53,604.48 = 9,439/x
  3. Step 3: Cross multiply
    35,734.60x = 53,604.48 × 9,439
  4. Step 4: Simplify right side
    35,734.60x = 505,972,686.72
  5. Step 5: Solve for x
    x = 505,972,686.72/35,734.60
  6. Step 6: Final answer
    x = 14,159.18

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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.