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Finding the Fourth Proportional to 6,271.68, 9,407.52 and 1,889.16

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Solution

The fourth proportional to 6,271.68, 9,407.52 and 1,889.16 is: 2,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.68 : 9,407.52 = 1,889.16 : x
  2. Step 2: Convert to fraction form
    6,271.68/9,407.52 = 1,889.16/x
  3. Step 3: Cross multiply
    6,271.68x = 9,407.52 × 1,889.16
  4. Step 4: Simplify right side
    6,271.68x = 17,772,310.48
  5. Step 5: Solve for x
    x = 17,772,310.48/6,271.68
  6. Step 6: Final answer
    x = 2,833.74

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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.