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Finding the Fourth Proportional to 9,322.18, 13,978.94 and 3,477.22

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Solution

The fourth proportional to 9,322.18, 13,978.94 and 3,477.22 is: 5,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.18 : 13,978.94 = 3,477.22 : x
  2. Step 2: Convert to fraction form
    9,322.18/13,978.94 = 3,477.22/x
  3. Step 3: Cross multiply
    9,322.18x = 13,978.94 × 3,477.22
  4. Step 4: Simplify right side
    9,322.18x = 48,607,849.75
  5. Step 5: Solve for x
    x = 48,607,849.75/9,322.18
  6. Step 6: Final answer
    x = 5,214.21

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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.