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Finding the Fourth Proportional to 9,652.58, 13,321.20 and 5,404.04

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Solution

The fourth proportional to 9,652.58, 13,321.20 and 5,404.04 is: 7,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.58 : 13,321.20 = 5,404.04 : x
  2. Step 2: Convert to fraction form
    9,652.58/13,321.20 = 5,404.04/x
  3. Step 3: Cross multiply
    9,652.58x = 13,321.20 × 5,404.04
  4. Step 4: Simplify right side
    9,652.58x = 71,988,297.65
  5. Step 5: Solve for x
    x = 71,988,297.65/9,652.58
  6. Step 6: Final answer
    x = 7,457.93

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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.