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Finding the Fourth Proportional to 9,719.16, 13,412.52 and 5,527.68

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Solution

The fourth proportional to 9,719.16, 13,412.52 and 5,527.68 is: 7,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.16 : 13,412.52 = 5,527.68 : x
  2. Step 2: Convert to fraction form
    9,719.16/13,412.52 = 5,527.68/x
  3. Step 3: Cross multiply
    9,719.16x = 13,412.52 × 5,527.68
  4. Step 4: Simplify right side
    9,719.16x = 74,140,118.55
  5. Step 5: Solve for x
    x = 74,140,118.55/9,719.16
  6. Step 6: Final answer
    x = 7,628.24

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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.