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Finding the Fourth Proportional to 9,374.72, 14,037.12 and 8,193.92

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Solution

The fourth proportional to 9,374.72, 14,037.12 and 8,193.92 is: 12,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.72 : 14,037.12 = 8,193.92 : x
  2. Step 2: Convert to fraction form
    9,374.72/14,037.12 = 8,193.92/x
  3. Step 3: Cross multiply
    9,374.72x = 14,037.12 × 8,193.92
  4. Step 4: Simplify right side
    9,374.72x = 115,019,038.31
  5. Step 5: Solve for x
    x = 115,019,038.31/9,374.72
  6. Step 6: Final answer
    x = 12,269.06

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