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Finding the Fourth Proportional to 9,429.99, 13,016.90 and 8,098.35

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Solution

The fourth proportional to 9,429.99, 13,016.90 and 8,098.35 is: 11,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.99 : 13,016.90 = 8,098.35 : x
  2. Step 2: Convert to fraction form
    9,429.99/13,016.90 = 8,098.35/x
  3. Step 3: Cross multiply
    9,429.99x = 13,016.90 × 8,098.35
  4. Step 4: Simplify right side
    9,429.99x = 105,415,371.62
  5. Step 5: Solve for x
    x = 105,415,371.62/9,429.99
  6. Step 6: Final answer
    x = 11,178.74

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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.