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Finding the Fourth Proportional to 9,248.58, 12,764.46 and 5,892.86

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Solution

The fourth proportional to 9,248.58, 12,764.46 and 5,892.86 is: 8,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.58 : 12,764.46 = 5,892.86 : x
  2. Step 2: Convert to fraction form
    9,248.58/12,764.46 = 5,892.86/x
  3. Step 3: Cross multiply
    9,248.58x = 12,764.46 × 5,892.86
  4. Step 4: Simplify right side
    9,248.58x = 75,219,175.76
  5. Step 5: Solve for x
    x = 75,219,175.76/9,248.58
  6. Step 6: Final answer
    x = 8,133.05

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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.