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Finding the Fourth Proportional to 6,271.48, 9,407.49 and 2,111.32

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Solution

The fourth proportional to 6,271.48, 9,407.49 and 2,111.32 is: 3,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.48 : 9,407.49 = 2,111.32 : x
  2. Step 2: Convert to fraction form
    6,271.48/9,407.49 = 2,111.32/x
  3. Step 3: Cross multiply
    6,271.48x = 9,407.49 × 2,111.32
  4. Step 4: Simplify right side
    6,271.48x = 19,862,221.79
  5. Step 5: Solve for x
    x = 19,862,221.79/6,271.48
  6. Step 6: Final answer
    x = 3,167.07

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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.