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Finding the Fourth Proportional to 9,606.31, 14,407.65 and 3,281.50

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Solution

The fourth proportional to 9,606.31, 14,407.65 and 3,281.50 is: 4,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.31 : 14,407.65 = 3,281.50 : x
  2. Step 2: Convert to fraction form
    9,606.31/14,407.65 = 3,281.50/x
  3. Step 3: Cross multiply
    9,606.31x = 14,407.65 × 3,281.50
  4. Step 4: Simplify right side
    9,606.31x = 47,278,703.48
  5. Step 5: Solve for x
    x = 47,278,703.48/9,606.31
  6. Step 6: Final answer
    x = 4,921.63

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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.