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Finding the Fourth Proportional to 6,555.64, 9,832.82 and 1,875.96

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Solution

The fourth proportional to 6,555.64, 9,832.82 and 1,875.96 is: 2,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.64 : 9,832.82 = 1,875.96 : x
  2. Step 2: Convert to fraction form
    6,555.64/9,832.82 = 1,875.96/x
  3. Step 3: Cross multiply
    6,555.64x = 9,832.82 × 1,875.96
  4. Step 4: Simplify right side
    6,555.64x = 18,445,977.01
  5. Step 5: Solve for x
    x = 18,445,977.01/6,555.64
  6. Step 6: Final answer
    x = 2,813.76

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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.