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Finding the Fourth Proportional to 9,219.56, 12,719.23 and 6,426.68

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Solution

The fourth proportional to 9,219.56, 12,719.23 and 6,426.68 is: 8,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.56 : 12,719.23 = 6,426.68 : x
  2. Step 2: Convert to fraction form
    9,219.56/12,719.23 = 6,426.68/x
  3. Step 3: Cross multiply
    9,219.56x = 12,719.23 × 6,426.68
  4. Step 4: Simplify right side
    9,219.56x = 81,742,341.39
  5. Step 5: Solve for x
    x = 81,742,341.39/9,219.56
  6. Step 6: Final answer
    x = 8,866.19

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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.