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Finding the Fourth Proportional to 9,720.96, 14,570.22 and 4,166.04

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Solution

The fourth proportional to 9,720.96, 14,570.22 and 4,166.04 is: 6,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.96 : 14,570.22 = 4,166.04 : x
  2. Step 2: Convert to fraction form
    9,720.96/14,570.22 = 4,166.04/x
  3. Step 3: Cross multiply
    9,720.96x = 14,570.22 × 4,166.04
  4. Step 4: Simplify right side
    9,720.96x = 60,700,119.33
  5. Step 5: Solve for x
    x = 60,700,119.33/9,720.96
  6. Step 6: Final answer
    x = 6,244.25

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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.