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Finding the Fourth Proportional to 35,932.60, 53,902.52 and 9,640

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Solution

The fourth proportional to 35,932.60, 53,902.52 and 9,640 is: 14,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,932.60 : 53,902.52 = 9,640 : x
  2. Step 2: Convert to fraction form
    35,932.60/53,902.52 = 9,640/x
  3. Step 3: Cross multiply
    35,932.60x = 53,902.52 × 9,640
  4. Step 4: Simplify right side
    35,932.60x = 519,620,292.80
  5. Step 5: Solve for x
    x = 519,620,292.80/35,932.60
  6. Step 6: Final answer
    x = 14,460.97

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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.