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Finding the Fourth Proportional to 9,342.89, 14,016 and 3,103.28

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Solution

The fourth proportional to 9,342.89, 14,016 and 3,103.28 is: 4,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.89 : 14,016 = 3,103.28 : x
  2. Step 2: Convert to fraction form
    9,342.89/14,016 = 3,103.28/x
  3. Step 3: Cross multiply
    9,342.89x = 14,016 × 3,103.28
  4. Step 4: Simplify right side
    9,342.89x = 43,495,572.48
  5. Step 5: Solve for x
    x = 43,495,572.48/9,342.89
  6. Step 6: Final answer
    x = 4,655.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.