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Finding the Fourth Proportional to 6,298.16, 9,445.75 and 2,786.23

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Solution

The fourth proportional to 6,298.16, 9,445.75 and 2,786.23 is: 4,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.16 : 9,445.75 = 2,786.23 : x
  2. Step 2: Convert to fraction form
    6,298.16/9,445.75 = 2,786.23/x
  3. Step 3: Cross multiply
    6,298.16x = 9,445.75 × 2,786.23
  4. Step 4: Simplify right side
    6,298.16x = 26,318,036.86
  5. Step 5: Solve for x
    x = 26,318,036.86/6,298.16
  6. Step 6: Final answer
    x = 4,178.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.