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Finding the Fourth Proportional to 9,801.06, 13,525.50 and 5,609.34

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Solution

The fourth proportional to 9,801.06, 13,525.50 and 5,609.34 is: 7,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.06 : 13,525.50 = 5,609.34 : x
  2. Step 2: Convert to fraction form
    9,801.06/13,525.50 = 5,609.34/x
  3. Step 3: Cross multiply
    9,801.06x = 13,525.50 × 5,609.34
  4. Step 4: Simplify right side
    9,801.06x = 75,869,128.17
  5. Step 5: Solve for x
    x = 75,869,128.17/9,801.06
  6. Step 6: Final answer
    x = 7,740.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.