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Finding the Fourth Proportional to 9,502.37, 14,241.16 and 5,114.68

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Solution

The fourth proportional to 9,502.37, 14,241.16 and 5,114.68 is: 7,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.37 : 14,241.16 = 5,114.68 : x
  2. Step 2: Convert to fraction form
    9,502.37/14,241.16 = 5,114.68/x
  3. Step 3: Cross multiply
    9,502.37x = 14,241.16 × 5,114.68
  4. Step 4: Simplify right side
    9,502.37x = 72,838,976.23
  5. Step 5: Solve for x
    x = 72,838,976.23/9,502.37
  6. Step 6: Final answer
    x = 7,665.35

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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.