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Finding the Fourth Proportional to 6,236.64, 9,355.68 and 1,854.72

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Solution

The fourth proportional to 6,236.64, 9,355.68 and 1,854.72 is: 2,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.64 : 9,355.68 = 1,854.72 : x
  2. Step 2: Convert to fraction form
    6,236.64/9,355.68 = 1,854.72/x
  3. Step 3: Cross multiply
    6,236.64x = 9,355.68 × 1,854.72
  4. Step 4: Simplify right side
    6,236.64x = 17,352,166.81
  5. Step 5: Solve for x
    x = 17,352,166.81/6,236.64
  6. Step 6: Final answer
    x = 2,782.29

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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.