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Finding the Fourth Proportional to 9,501.99, 14,240.43 and 6,878.27

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Solution

The fourth proportional to 9,501.99, 14,240.43 and 6,878.27 is: 10,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.99 : 14,240.43 = 6,878.27 : x
  2. Step 2: Convert to fraction form
    9,501.99/14,240.43 = 6,878.27/x
  3. Step 3: Cross multiply
    9,501.99x = 14,240.43 × 6,878.27
  4. Step 4: Simplify right side
    9,501.99x = 97,949,451.25
  5. Step 5: Solve for x
    x = 97,949,451.25/9,501.99
  6. Step 6: Final answer
    x = 10,308.31

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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.