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Finding the Fourth Proportional to 9,545, 14,317.77 and 2,619.50

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Solution

The fourth proportional to 9,545, 14,317.77 and 2,619.50 is: 3,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545 : 14,317.77 = 2,619.50 : x
  2. Step 2: Convert to fraction form
    9,545/14,317.77 = 2,619.50/x
  3. Step 3: Cross multiply
    9,545x = 14,317.77 × 2,619.50
  4. Step 4: Simplify right side
    9,545x = 37,505,398.52
  5. Step 5: Solve for x
    x = 37,505,398.52/9,545
  6. Step 6: Final answer
    x = 3,929.32

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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.