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Finding the Fourth Proportional to 9,317.08, 13,978.73 and 3,767.41

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Solution

The fourth proportional to 9,317.08, 13,978.73 and 3,767.41 is: 5,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.08 : 13,978.73 = 3,767.41 : x
  2. Step 2: Convert to fraction form
    9,317.08/13,978.73 = 3,767.41/x
  3. Step 3: Cross multiply
    9,317.08x = 13,978.73 × 3,767.41
  4. Step 4: Simplify right side
    9,317.08x = 52,663,607.19
  5. Step 5: Solve for x
    x = 52,663,607.19/9,317.08
  6. Step 6: Final answer
    x = 5,652.37

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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.