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Finding the Fourth Proportional to 9,193.82, 12,688.88 and 5,214.08

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Solution

The fourth proportional to 9,193.82, 12,688.88 and 5,214.08 is: 7,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.82 : 12,688.88 = 5,214.08 : x
  2. Step 2: Convert to fraction form
    9,193.82/12,688.88 = 5,214.08/x
  3. Step 3: Cross multiply
    9,193.82x = 12,688.88 × 5,214.08
  4. Step 4: Simplify right side
    9,193.82x = 66,160,841.08
  5. Step 5: Solve for x
    x = 66,160,841.08/9,193.82
  6. Step 6: Final answer
    x = 7,196.23

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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.