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Finding the Fourth Proportional to 9,432, 13,016.16 and 5,705.28

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Solution

The fourth proportional to 9,432, 13,016.16 and 5,705.28 is: 7,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432 : 13,016.16 = 5,705.28 : x
  2. Step 2: Convert to fraction form
    9,432/13,016.16 = 5,705.28/x
  3. Step 3: Cross multiply
    9,432x = 13,016.16 × 5,705.28
  4. Step 4: Simplify right side
    9,432x = 74,260,837.32
  5. Step 5: Solve for x
    x = 74,260,837.32/9,432
  6. Step 6: Final answer
    x = 7,873.29

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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.