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Finding the Fourth Proportional to 9,361, 14,021.52 and 6,064.30

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Solution

The fourth proportional to 9,361, 14,021.52 and 6,064.30 is: 9,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361 : 14,021.52 = 6,064.30 : x
  2. Step 2: Convert to fraction form
    9,361/14,021.52 = 6,064.30/x
  3. Step 3: Cross multiply
    9,361x = 14,021.52 × 6,064.30
  4. Step 4: Simplify right side
    9,361x = 85,030,703.74
  5. Step 5: Solve for x
    x = 85,030,703.74/9,361
  6. Step 6: Final answer
    x = 9,083.51

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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.