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Finding the Fourth Proportional to 6,541.44, 9,031.52 and 5,026.29

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Solution

The fourth proportional to 6,541.44, 9,031.52 and 5,026.29 is: 6,939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.44 : 9,031.52 = 5,026.29 : x
  2. Step 2: Convert to fraction form
    6,541.44/9,031.52 = 5,026.29/x
  3. Step 3: Cross multiply
    6,541.44x = 9,031.52 × 5,026.29
  4. Step 4: Simplify right side
    6,541.44x = 45,395,038.66
  5. Step 5: Solve for x
    x = 45,395,038.66/6,541.44
  6. Step 6: Final answer
    x = 6,939.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.