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Finding the Fourth Proportional to 9,222.30, 13,835.64 and 2,648.34

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Solution

The fourth proportional to 9,222.30, 13,835.64 and 2,648.34 is: 3,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.30 : 13,835.64 = 2,648.34 : x
  2. Step 2: Convert to fraction form
    9,222.30/13,835.64 = 2,648.34/x
  3. Step 3: Cross multiply
    9,222.30x = 13,835.64 × 2,648.34
  4. Step 4: Simplify right side
    9,222.30x = 36,641,478.84
  5. Step 5: Solve for x
    x = 36,641,478.84/9,222.30
  6. Step 6: Final answer
    x = 3,973.14

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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.