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Finding the Fourth Proportional to 6,271.14, 9,407.97 and 1,888.98

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Solution

The fourth proportional to 6,271.14, 9,407.97 and 1,888.98 is: 2,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.14 : 9,407.97 = 1,888.98 : x
  2. Step 2: Convert to fraction form
    6,271.14/9,407.97 = 1,888.98/x
  3. Step 3: Cross multiply
    6,271.14x = 9,407.97 × 1,888.98
  4. Step 4: Simplify right side
    6,271.14x = 17,771,467.17
  5. Step 5: Solve for x
    x = 17,771,467.17/6,271.14
  6. Step 6: Final answer
    x = 2,833.85

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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.