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Finding the Fourth Proportional to 9,930.98, 13,709.04 and 6,575.42

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Solution

The fourth proportional to 9,930.98, 13,709.04 and 6,575.42 is: 9,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.98 : 13,709.04 = 6,575.42 : x
  2. Step 2: Convert to fraction form
    9,930.98/13,709.04 = 6,575.42/x
  3. Step 3: Cross multiply
    9,930.98x = 13,709.04 × 6,575.42
  4. Step 4: Simplify right side
    9,930.98x = 90,142,695.80
  5. Step 5: Solve for x
    x = 90,142,695.80/9,930.98
  6. Step 6: Final answer
    x = 9,076.92

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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.