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Finding the Fourth Proportional to 9,697.19, 13,382.92 and 5,719.07

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Solution

The fourth proportional to 9,697.19, 13,382.92 and 5,719.07 is: 7,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.19 : 13,382.92 = 5,719.07 : x
  2. Step 2: Convert to fraction form
    9,697.19/13,382.92 = 5,719.07/x
  3. Step 3: Cross multiply
    9,697.19x = 13,382.92 × 5,719.07
  4. Step 4: Simplify right side
    9,697.19x = 76,537,896.89
  5. Step 5: Solve for x
    x = 76,537,896.89/9,697.19
  6. Step 6: Final answer
    x = 7,892.80

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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.