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Finding the Fourth Proportional to 9,213.22, 13,822.52 and 2,973.10

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Solution

The fourth proportional to 9,213.22, 13,822.52 and 2,973.10 is: 4,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.22 : 13,822.52 = 2,973.10 : x
  2. Step 2: Convert to fraction form
    9,213.22/13,822.52 = 2,973.10/x
  3. Step 3: Cross multiply
    9,213.22x = 13,822.52 × 2,973.10
  4. Step 4: Simplify right side
    9,213.22x = 41,095,734.21
  5. Step 5: Solve for x
    x = 41,095,734.21/9,213.22
  6. Step 6: Final answer
    x = 4,460.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.