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Finding the Fourth Proportional to 9,384.95, 14,077.62 and 4,455.09

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Solution

The fourth proportional to 9,384.95, 14,077.62 and 4,455.09 is: 6,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.95 : 14,077.62 = 4,455.09 : x
  2. Step 2: Convert to fraction form
    9,384.95/14,077.62 = 4,455.09/x
  3. Step 3: Cross multiply
    9,384.95x = 14,077.62 × 4,455.09
  4. Step 4: Simplify right side
    9,384.95x = 62,717,064.09
  5. Step 5: Solve for x
    x = 62,717,064.09/9,384.95
  6. Step 6: Final answer
    x = 6,682.73

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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.