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Finding the Fourth Proportional to 9,699.43, 14,555.53 and 5,319.97

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Solution

The fourth proportional to 9,699.43, 14,555.53 and 5,319.97 is: 7,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.43 : 14,555.53 = 5,319.97 : x
  2. Step 2: Convert to fraction form
    9,699.43/14,555.53 = 5,319.97/x
  3. Step 3: Cross multiply
    9,699.43x = 14,555.53 × 5,319.97
  4. Step 4: Simplify right side
    9,699.43x = 77,434,883.56
  5. Step 5: Solve for x
    x = 77,434,883.56/9,699.43
  6. Step 6: Final answer
    x = 7,983.45

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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.