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Finding the Fourth Proportional to 9,384.56, 14,078.73 and 4,454.72

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Solution

The fourth proportional to 9,384.56, 14,078.73 and 4,454.72 is: 6,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.56 : 14,078.73 = 4,454.72 : x
  2. Step 2: Convert to fraction form
    9,384.56/14,078.73 = 4,454.72/x
  3. Step 3: Cross multiply
    9,384.56x = 14,078.73 × 4,454.72
  4. Step 4: Simplify right side
    9,384.56x = 62,716,800.11
  5. Step 5: Solve for x
    x = 62,716,800.11/9,384.56
  6. Step 6: Final answer
    x = 6,682.98

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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.