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Finding the Fourth Proportional to 9,298.86, 12,832.65 and 5,107.20

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Solution

The fourth proportional to 9,298.86, 12,832.65 and 5,107.20 is: 7,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.86 : 12,832.65 = 5,107.20 : x
  2. Step 2: Convert to fraction form
    9,298.86/12,832.65 = 5,107.20/x
  3. Step 3: Cross multiply
    9,298.86x = 12,832.65 × 5,107.20
  4. Step 4: Simplify right side
    9,298.86x = 65,538,910.08
  5. Step 5: Solve for x
    x = 65,538,910.08/9,298.86
  6. Step 6: Final answer
    x = 7,048.06

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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.