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Finding the Fourth Proportional to 9,693.20, 14,546.16 and 5,313.75

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Solution

The fourth proportional to 9,693.20, 14,546.16 and 5,313.75 is: 7,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.20 : 14,546.16 = 5,313.75 : x
  2. Step 2: Convert to fraction form
    9,693.20/14,546.16 = 5,313.75/x
  3. Step 3: Cross multiply
    9,693.20x = 14,546.16 × 5,313.75
  4. Step 4: Simplify right side
    9,693.20x = 77,294,657.70
  5. Step 5: Solve for x
    x = 77,294,657.70/9,693.20
  6. Step 6: Final answer
    x = 7,974.12

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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.