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Finding the Fourth Proportional to 6,272.64, 9,407.61 and 1,889.19

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Solution

The fourth proportional to 6,272.64, 9,407.61 and 1,889.19 is: 2,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.64 : 9,407.61 = 1,889.19 : x
  2. Step 2: Convert to fraction form
    6,272.64/9,407.61 = 1,889.19/x
  3. Step 3: Cross multiply
    6,272.64x = 9,407.61 × 1,889.19
  4. Step 4: Simplify right side
    6,272.64x = 17,772,762.74
  5. Step 5: Solve for x
    x = 17,772,762.74/6,272.64
  6. Step 6: Final answer
    x = 2,833.38

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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.