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Finding the Fourth Proportional to 6,383.10, 9,575.16 and 1,703.14

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Solution

The fourth proportional to 6,383.10, 9,575.16 and 1,703.14 is: 2,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.10 : 9,575.16 = 1,703.14 : x
  2. Step 2: Convert to fraction form
    6,383.10/9,575.16 = 1,703.14/x
  3. Step 3: Cross multiply
    6,383.10x = 9,575.16 × 1,703.14
  4. Step 4: Simplify right side
    6,383.10x = 16,307,838.00
  5. Step 5: Solve for x
    x = 16,307,838.00/6,383.10
  6. Step 6: Final answer
    x = 2,554.85

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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.