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Finding the Fourth Proportional to 9,591.25, 14,389.28 and 7,624.30

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Solution

The fourth proportional to 9,591.25, 14,389.28 and 7,624.30 is: 11,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.25 : 14,389.28 = 7,624.30 : x
  2. Step 2: Convert to fraction form
    9,591.25/14,389.28 = 7,624.30/x
  3. Step 3: Cross multiply
    9,591.25x = 14,389.28 × 7,624.30
  4. Step 4: Simplify right side
    9,591.25x = 109,708,187.50
  5. Step 5: Solve for x
    x = 109,708,187.50/9,591.25
  6. Step 6: Final answer
    x = 11,438.36

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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.