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Finding the Fourth Proportional to 9,719.64, 13,412.98 and 5,470.68

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Solution

The fourth proportional to 9,719.64, 13,412.98 and 5,470.68 is: 7,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.64 : 13,412.98 = 5,470.68 : x
  2. Step 2: Convert to fraction form
    9,719.64/13,412.98 = 5,470.68/x
  3. Step 3: Cross multiply
    9,719.64x = 13,412.98 × 5,470.68
  4. Step 4: Simplify right side
    9,719.64x = 73,378,121.43
  5. Step 5: Solve for x
    x = 73,378,121.43/9,719.64
  6. Step 6: Final answer
    x = 7,549.47

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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.