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Finding the Fourth Proportional to 9,893.56, 14,829.18 and 4,046.98

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Solution

The fourth proportional to 9,893.56, 14,829.18 and 4,046.98 is: 6,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.56 : 14,829.18 = 4,046.98 : x
  2. Step 2: Convert to fraction form
    9,893.56/14,829.18 = 4,046.98/x
  3. Step 3: Cross multiply
    9,893.56x = 14,829.18 × 4,046.98
  4. Step 4: Simplify right side
    9,893.56x = 60,013,394.88
  5. Step 5: Solve for x
    x = 60,013,394.88/9,893.56
  6. Step 6: Final answer
    x = 6,065.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.