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Finding the Fourth Proportional to 6,271.86, 9,406.73 and 1,888.30

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Solution

The fourth proportional to 6,271.86, 9,406.73 and 1,888.30 is: 2,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.86 : 9,406.73 = 1,888.30 : x
  2. Step 2: Convert to fraction form
    6,271.86/9,406.73 = 1,888.30/x
  3. Step 3: Cross multiply
    6,271.86x = 9,406.73 × 1,888.30
  4. Step 4: Simplify right side
    6,271.86x = 17,762,744.74
  5. Step 5: Solve for x
    x = 17,762,744.74/6,271.86
  6. Step 6: Final answer
    x = 2,832.13

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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.