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Finding the Fourth Proportional to 9,703.46, 14,554.92 and 3,128.42

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Solution

The fourth proportional to 9,703.46, 14,554.92 and 3,128.42 is: 4,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.46 : 14,554.92 = 3,128.42 : x
  2. Step 2: Convert to fraction form
    9,703.46/14,554.92 = 3,128.42/x
  3. Step 3: Cross multiply
    9,703.46x = 14,554.92 × 3,128.42
  4. Step 4: Simplify right side
    9,703.46x = 45,533,902.83
  5. Step 5: Solve for x
    x = 45,533,902.83/9,703.46
  6. Step 6: Final answer
    x = 4,692.54

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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.