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Finding the Fourth Proportional to 9,298.56, 12,832.02 and 5,106.81

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Solution

The fourth proportional to 9,298.56, 12,832.02 and 5,106.81 is: 7,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.56 : 12,832.02 = 5,106.81 : x
  2. Step 2: Convert to fraction form
    9,298.56/12,832.02 = 5,106.81/x
  3. Step 3: Cross multiply
    9,298.56x = 12,832.02 × 5,106.81
  4. Step 4: Simplify right side
    9,298.56x = 65,530,688.06
  5. Step 5: Solve for x
    x = 65,530,688.06/9,298.56
  6. Step 6: Final answer
    x = 7,047.40

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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.