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Finding the Fourth Proportional to 9,488.58, 14,232.88 and 2,914.82

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Solution

The fourth proportional to 9,488.58, 14,232.88 and 2,914.82 is: 4,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.58 : 14,232.88 = 2,914.82 : x
  2. Step 2: Convert to fraction form
    9,488.58/14,232.88 = 2,914.82/x
  3. Step 3: Cross multiply
    9,488.58x = 14,232.88 × 2,914.82
  4. Step 4: Simplify right side
    9,488.58x = 41,486,269.13
  5. Step 5: Solve for x
    x = 41,486,269.13/9,488.58
  6. Step 6: Final answer
    x = 4,372.23

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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.