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Finding the Fourth Proportional to 9,193.82, 12,688.18 and 5,215.10

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Solution

The fourth proportional to 9,193.82, 12,688.18 and 5,215.10 is: 7,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.82 : 12,688.18 = 5,215.10 : x
  2. Step 2: Convert to fraction form
    9,193.82/12,688.18 = 5,215.10/x
  3. Step 3: Cross multiply
    9,193.82x = 12,688.18 × 5,215.10
  4. Step 4: Simplify right side
    9,193.82x = 66,170,051.04
  5. Step 5: Solve for x
    x = 66,170,051.04/9,193.82
  6. Step 6: Final answer
    x = 7,197.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.