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Finding the Fourth Proportional to 6,031.80, 9,036.90 and 4,930.20

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Solution

The fourth proportional to 6,031.80, 9,036.90 and 4,930.20 is: 7,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.80 : 9,036.90 = 4,930.20 : x
  2. Step 2: Convert to fraction form
    6,031.80/9,036.90 = 4,930.20/x
  3. Step 3: Cross multiply
    6,031.80x = 9,036.90 × 4,930.20
  4. Step 4: Simplify right side
    6,031.80x = 44,553,724.38
  5. Step 5: Solve for x
    x = 44,553,724.38/6,031.80
  6. Step 6: Final answer
    x = 7,386.47

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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.