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Finding the Fourth Proportional to 9,809.25, 14,715.63 and 3,578.01

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Solution

The fourth proportional to 9,809.25, 14,715.63 and 3,578.01 is: 5,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.25 : 14,715.63 = 3,578.01 : x
  2. Step 2: Convert to fraction form
    9,809.25/14,715.63 = 3,578.01/x
  3. Step 3: Cross multiply
    9,809.25x = 14,715.63 × 3,578.01
  4. Step 4: Simplify right side
    9,809.25x = 52,652,671.30
  5. Step 5: Solve for x
    x = 52,652,671.30/9,809.25
  6. Step 6: Final answer
    x = 5,367.66

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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.