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Finding the Fourth Proportional to 6,541.93, 9,031.20 and 4,428.63

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Solution

The fourth proportional to 6,541.93, 9,031.20 and 4,428.63 is: 6,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.93 : 9,031.20 = 4,428.63 : x
  2. Step 2: Convert to fraction form
    6,541.93/9,031.20 = 4,428.63/x
  3. Step 3: Cross multiply
    6,541.93x = 9,031.20 × 4,428.63
  4. Step 4: Simplify right side
    6,541.93x = 39,995,843.26
  5. Step 5: Solve for x
    x = 39,995,843.26/6,541.93
  6. Step 6: Final answer
    x = 6,113.77

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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.