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Finding the Fourth Proportional to 9,719.57, 13,412.72 and 5,470.87

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Solution

The fourth proportional to 9,719.57, 13,412.72 and 5,470.87 is: 7,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.57 : 13,412.72 = 5,470.87 : x
  2. Step 2: Convert to fraction form
    9,719.57/13,412.72 = 5,470.87/x
  3. Step 3: Cross multiply
    9,719.57x = 13,412.72 × 5,470.87
  4. Step 4: Simplify right side
    9,719.57x = 73,379,153.05
  5. Step 5: Solve for x
    x = 73,379,153.05/9,719.57
  6. Step 6: Final answer
    x = 7,549.63

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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.