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Finding the Fourth Proportional to 9,643.98, 14,462.97 and 4,375.74

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Solution

The fourth proportional to 9,643.98, 14,462.97 and 4,375.74 is: 6,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.98 : 14,462.97 = 4,375.74 : x
  2. Step 2: Convert to fraction form
    9,643.98/14,462.97 = 4,375.74/x
  3. Step 3: Cross multiply
    9,643.98x = 14,462.97 × 4,375.74
  4. Step 4: Simplify right side
    9,643.98x = 63,286,196.35
  5. Step 5: Solve for x
    x = 63,286,196.35/9,643.98
  6. Step 6: Final answer
    x = 6,562.25

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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.