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Finding the Fourth Proportional to 9,444.24, 13,016.52 and 8,358.12

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Solution

The fourth proportional to 9,444.24, 13,016.52 and 8,358.12 is: 11,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.24 : 13,016.52 = 8,358.12 : x
  2. Step 2: Convert to fraction form
    9,444.24/13,016.52 = 8,358.12/x
  3. Step 3: Cross multiply
    9,444.24x = 13,016.52 × 8,358.12
  4. Step 4: Simplify right side
    9,444.24x = 108,793,636.14
  5. Step 5: Solve for x
    x = 108,793,636.14/9,444.24
  6. Step 6: Final answer
    x = 11,519.58

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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.