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Finding the Fourth Proportional to 9,699.29, 13,384.43 and 5,720.57

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Solution

The fourth proportional to 9,699.29, 13,384.43 and 5,720.57 is: 7,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.29 : 13,384.43 = 5,720.57 : x
  2. Step 2: Convert to fraction form
    9,699.29/13,384.43 = 5,720.57/x
  3. Step 3: Cross multiply
    9,699.29x = 13,384.43 × 5,720.57
  4. Step 4: Simplify right side
    9,699.29x = 76,566,540.12
  5. Step 5: Solve for x
    x = 76,566,540.12/9,699.29
  6. Step 6: Final answer
    x = 7,894.04

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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.