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Finding the Fourth Proportional to 9,298.80, 12,832.20 and 5,106.96

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Solution

The fourth proportional to 9,298.80, 12,832.20 and 5,106.96 is: 7,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.80 : 12,832.20 = 5,106.96 : x
  2. Step 2: Convert to fraction form
    9,298.80/12,832.20 = 5,106.96/x
  3. Step 3: Cross multiply
    9,298.80x = 12,832.20 × 5,106.96
  4. Step 4: Simplify right side
    9,298.80x = 65,533,532.11
  5. Step 5: Solve for x
    x = 65,533,532.11/9,298.80
  6. Step 6: Final answer
    x = 7,047.53

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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.