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Finding the Fourth Proportional to 9,220.30, 13,832.64 and 2,646.34

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Solution

The fourth proportional to 9,220.30, 13,832.64 and 2,646.34 is: 3,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.30 : 13,832.64 = 2,646.34 : x
  2. Step 2: Convert to fraction form
    9,220.30/13,832.64 = 2,646.34/x
  3. Step 3: Cross multiply
    9,220.30x = 13,832.64 × 2,646.34
  4. Step 4: Simplify right side
    9,220.30x = 36,605,868.54
  5. Step 5: Solve for x
    x = 36,605,868.54/9,220.30
  6. Step 6: Final answer
    x = 3,970.14

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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.