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Finding the Fourth Proportional to 6,357.12, 9,537.93 and 2,846.85

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Solution

The fourth proportional to 6,357.12, 9,537.93 and 2,846.85 is: 4,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.12 : 9,537.93 = 2,846.85 : x
  2. Step 2: Convert to fraction form
    6,357.12/9,537.93 = 2,846.85/x
  3. Step 3: Cross multiply
    6,357.12x = 9,537.93 × 2,846.85
  4. Step 4: Simplify right side
    6,357.12x = 27,152,994.10
  5. Step 5: Solve for x
    x = 27,152,994.10/6,357.12
  6. Step 6: Final answer
    x = 4,271.28

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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.