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Finding the Fourth Proportional to 10,097.46, 15,126.08 and 6,143.85

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Solution

The fourth proportional to 10,097.46, 15,126.08 and 6,143.85 is: 9,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.46 : 15,126.08 = 6,143.85 : x
  2. Step 2: Convert to fraction form
    10,097.46/15,126.08 = 6,143.85/x
  3. Step 3: Cross multiply
    10,097.46x = 15,126.08 × 6,143.85
  4. Step 4: Simplify right side
    10,097.46x = 92,932,335.89
  5. Step 5: Solve for x
    x = 92,932,335.89/10,097.46
  6. Step 6: Final answer
    x = 9,203.54

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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.