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Finding the Fourth Proportional to 11,321.60, 15,638.76 and 9,439.34

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Solution

The fourth proportional to 11,321.60, 15,638.76 and 9,439.34 is: 13,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.60 : 15,638.76 = 9,439.34 : x
  2. Step 2: Convert to fraction form
    11,321.60/15,638.76 = 9,439.34/x
  3. Step 3: Cross multiply
    11,321.60x = 15,638.76 × 9,439.34
  4. Step 4: Simplify right side
    11,321.60x = 147,619,572.82
  5. Step 5: Solve for x
    x = 147,619,572.82/11,321.60
  6. Step 6: Final answer
    x = 13,038.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.