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Finding the Fourth Proportional to 9,298.86, 12,832.08 and 5,049.83

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Solution

The fourth proportional to 9,298.86, 12,832.08 and 5,049.83 is: 6,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.86 : 12,832.08 = 5,049.83 : x
  2. Step 2: Convert to fraction form
    9,298.86/12,832.08 = 5,049.83/x
  3. Step 3: Cross multiply
    9,298.86x = 12,832.08 × 5,049.83
  4. Step 4: Simplify right side
    9,298.86x = 64,799,877.77
  5. Step 5: Solve for x
    x = 64,799,877.77/9,298.86
  6. Step 6: Final answer
    x = 6,968.58

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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.