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Finding the Fourth Proportional to 28,196.12, 42,294.18 and 9,728.12

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Solution

The fourth proportional to 28,196.12, 42,294.18 and 9,728.12 is: 14,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,196.12 : 42,294.18 = 9,728.12 : x
  2. Step 2: Convert to fraction form
    28,196.12/42,294.18 = 9,728.12/x
  3. Step 3: Cross multiply
    28,196.12x = 42,294.18 × 9,728.12
  4. Step 4: Simplify right side
    28,196.12x = 411,442,858.34
  5. Step 5: Solve for x
    x = 411,442,858.34/28,196.12
  6. Step 6: Final answer
    x = 14,592.18

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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.