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Finding the Fourth Proportional to 9,447.96, 13,038.36 and 5,199.18

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Solution

The fourth proportional to 9,447.96, 13,038.36 and 5,199.18 is: 7,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.96 : 13,038.36 = 5,199.18 : x
  2. Step 2: Convert to fraction form
    9,447.96/13,038.36 = 5,199.18/x
  3. Step 3: Cross multiply
    9,447.96x = 13,038.36 × 5,199.18
  4. Step 4: Simplify right side
    9,447.96x = 67,788,780.54
  5. Step 5: Solve for x
    x = 67,788,780.54/9,447.96
  6. Step 6: Final answer
    x = 7,174.96

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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.