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Finding the Fourth Proportional to 9,339, 14,012.52 and 3,494.88

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Solution

The fourth proportional to 9,339, 14,012.52 and 3,494.88 is: 5,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339 : 14,012.52 = 3,494.88 : x
  2. Step 2: Convert to fraction form
    9,339/14,012.52 = 3,494.88/x
  3. Step 3: Cross multiply
    9,339x = 14,012.52 × 3,494.88
  4. Step 4: Simplify right side
    9,339x = 48,972,075.90
  5. Step 5: Solve for x
    x = 48,972,075.90/9,339
  6. Step 6: Final answer
    x = 5,243.82

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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.