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Finding the Fourth Proportional to 9,502.16, 14,242.30 and 5,110.39

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Solution

The fourth proportional to 9,502.16, 14,242.30 and 5,110.39 is: 7,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.16 : 14,242.30 = 5,110.39 : x
  2. Step 2: Convert to fraction form
    9,502.16/14,242.30 = 5,110.39/x
  3. Step 3: Cross multiply
    9,502.16x = 14,242.30 × 5,110.39
  4. Step 4: Simplify right side
    9,502.16x = 72,783,712.52
  5. Step 5: Solve for x
    x = 72,783,712.52/9,502.16
  6. Step 6: Final answer
    x = 7,659.70

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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.