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Finding the Fourth Proportional to 6,271.77, 9,407.66 and 1,592.13

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Solution

The fourth proportional to 6,271.77, 9,407.66 and 1,592.13 is: 2,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.77 : 9,407.66 = 1,592.13 : x
  2. Step 2: Convert to fraction form
    6,271.77/9,407.66 = 1,592.13/x
  3. Step 3: Cross multiply
    6,271.77x = 9,407.66 × 1,592.13
  4. Step 4: Simplify right side
    6,271.77x = 14,978,227.53
  5. Step 5: Solve for x
    x = 14,978,227.53/6,271.77
  6. Step 6: Final answer
    x = 2,388.20

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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.