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Finding the Fourth Proportional to 35,638.65, 53,460.86 and 9,343.31

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Solution

The fourth proportional to 35,638.65, 53,460.86 and 9,343.31 is: 14,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638.65 : 53,460.86 = 9,343.31 : x
  2. Step 2: Convert to fraction form
    35,638.65/53,460.86 = 9,343.31/x
  3. Step 3: Cross multiply
    35,638.65x = 53,460.86 × 9,343.31
  4. Step 4: Simplify right side
    35,638.65x = 499,501,474.78
  5. Step 5: Solve for x
    x = 499,501,474.78/35,638.65
  6. Step 6: Final answer
    x = 14,015.72

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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.