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Finding the Fourth Proportional to 9,874.06, 14,815.14 and 4,031.26

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Solution

The fourth proportional to 9,874.06, 14,815.14 and 4,031.26 is: 6,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.06 : 14,815.14 = 4,031.26 : x
  2. Step 2: Convert to fraction form
    9,874.06/14,815.14 = 4,031.26/x
  3. Step 3: Cross multiply
    9,874.06x = 14,815.14 × 4,031.26
  4. Step 4: Simplify right side
    9,874.06x = 59,723,681.28
  5. Step 5: Solve for x
    x = 59,723,681.28/9,874.06
  6. Step 6: Final answer
    x = 6,048.54

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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.