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Finding the Fourth Proportional to 9,928.30, 13,700.20 and 5,452

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Solution

The fourth proportional to 9,928.30, 13,700.20 and 5,452 is: 7,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.30 : 13,700.20 = 5,452 : x
  2. Step 2: Convert to fraction form
    9,928.30/13,700.20 = 5,452/x
  3. Step 3: Cross multiply
    9,928.30x = 13,700.20 × 5,452
  4. Step 4: Simplify right side
    9,928.30x = 74,693,490.40
  5. Step 5: Solve for x
    x = 74,693,490.40/9,928.30
  6. Step 6: Final answer
    x = 7,523.29

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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.