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Finding the Fourth Proportional to 9,455.46, 14,184.16 and 3,616.98

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Solution

The fourth proportional to 9,455.46, 14,184.16 and 3,616.98 is: 5,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.46 : 14,184.16 = 3,616.98 : x
  2. Step 2: Convert to fraction form
    9,455.46/14,184.16 = 3,616.98/x
  3. Step 3: Cross multiply
    9,455.46x = 14,184.16 × 3,616.98
  4. Step 4: Simplify right side
    9,455.46x = 51,303,823.04
  5. Step 5: Solve for x
    x = 51,303,823.04/9,455.46
  6. Step 6: Final answer
    x = 5,425.84

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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.