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Finding the Fourth Proportional to 9,642.80, 14,456.10 and 5,025.80

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Solution

The fourth proportional to 9,642.80, 14,456.10 and 5,025.80 is: 7,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.80 : 14,456.10 = 5,025.80 : x
  2. Step 2: Convert to fraction form
    9,642.80/14,456.10 = 5,025.80/x
  3. Step 3: Cross multiply
    9,642.80x = 14,456.10 × 5,025.80
  4. Step 4: Simplify right side
    9,642.80x = 72,653,467.38
  5. Step 5: Solve for x
    x = 72,653,467.38/9,642.80
  6. Step 6: Final answer
    x = 7,534.48

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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.