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Finding the Fourth Proportional to 9,502.49, 14,241.18 and 6,878.77

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Solution

The fourth proportional to 9,502.49, 14,241.18 and 6,878.77 is: 10,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.49 : 14,241.18 = 6,878.77 : x
  2. Step 2: Convert to fraction form
    9,502.49/14,241.18 = 6,878.77/x
  3. Step 3: Cross multiply
    9,502.49x = 14,241.18 × 6,878.77
  4. Step 4: Simplify right side
    9,502.49x = 97,961,801.75
  5. Step 5: Solve for x
    x = 97,961,801.75/9,502.49
  6. Step 6: Final answer
    x = 10,309.07

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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.