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Finding the Fourth Proportional to 9,932.40, 14,898.96 and 8,197.92

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Solution

The fourth proportional to 9,932.40, 14,898.96 and 8,197.92 is: 12,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.40 : 14,898.96 = 8,197.92 : x
  2. Step 2: Convert to fraction form
    9,932.40/14,898.96 = 8,197.92/x
  3. Step 3: Cross multiply
    9,932.40x = 14,898.96 × 8,197.92
  4. Step 4: Simplify right side
    9,932.40x = 122,140,482.16
  5. Step 5: Solve for x
    x = 122,140,482.16/9,932.40
  6. Step 6: Final answer
    x = 12,297.18

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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.