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Finding the Fourth Proportional to 9,298.69, 12,832.20 and 5,106.94

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Solution

The fourth proportional to 9,298.69, 12,832.20 and 5,106.94 is: 7,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.69 : 12,832.20 = 5,106.94 : x
  2. Step 2: Convert to fraction form
    9,298.69/12,832.20 = 5,106.94/x
  3. Step 3: Cross multiply
    9,298.69x = 12,832.20 × 5,106.94
  4. Step 4: Simplify right side
    9,298.69x = 65,533,243.39
  5. Step 5: Solve for x
    x = 65,533,243.39/9,298.69
  6. Step 6: Final answer
    x = 7,047.58

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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.