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Finding the Fourth Proportional to 6,436.49, 9,652.69 and 3,316.09

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Solution

The fourth proportional to 6,436.49, 9,652.69 and 3,316.09 is: 4,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.49 : 9,652.69 = 3,316.09 : x
  2. Step 2: Convert to fraction form
    6,436.49/9,652.69 = 3,316.09/x
  3. Step 3: Cross multiply
    6,436.49x = 9,652.69 × 3,316.09
  4. Step 4: Simplify right side
    6,436.49x = 32,009,156.36
  5. Step 5: Solve for x
    x = 32,009,156.36/6,436.49
  6. Step 6: Final answer
    x = 4,973.07

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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.