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Finding the Fourth Proportional to 9,645.93, 14,452.36 and 6,477.43

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Solution

The fourth proportional to 9,645.93, 14,452.36 and 6,477.43 is: 9,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.93 : 14,452.36 = 6,477.43 : x
  2. Step 2: Convert to fraction form
    9,645.93/14,452.36 = 6,477.43/x
  3. Step 3: Cross multiply
    9,645.93x = 14,452.36 × 6,477.43
  4. Step 4: Simplify right side
    9,645.93x = 93,614,150.23
  5. Step 5: Solve for x
    x = 93,614,150.23/9,645.93
  6. Step 6: Final answer
    x = 9,705.04

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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.