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Finding the Fourth Proportional to 9,369.88, 14,046.72 and 4,437

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Solution

The fourth proportional to 9,369.88, 14,046.72 and 4,437 is: 6,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.88 : 14,046.72 = 4,437 : x
  2. Step 2: Convert to fraction form
    9,369.88/14,046.72 = 4,437/x
  3. Step 3: Cross multiply
    9,369.88x = 14,046.72 × 4,437
  4. Step 4: Simplify right side
    9,369.88x = 62,325,296.64
  5. Step 5: Solve for x
    x = 62,325,296.64/9,369.88
  6. Step 6: Final answer
    x = 6,651.66

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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.