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Finding the Fourth Proportional to 9,384.31, 14,078.17 and 4,453.90

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Solution

The fourth proportional to 9,384.31, 14,078.17 and 4,453.90 is: 6,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.31 : 14,078.17 = 4,453.90 : x
  2. Step 2: Convert to fraction form
    9,384.31/14,078.17 = 4,453.90/x
  3. Step 3: Cross multiply
    9,384.31x = 14,078.17 × 4,453.90
  4. Step 4: Simplify right side
    9,384.31x = 62,702,761.36
  5. Step 5: Solve for x
    x = 62,702,761.36/9,384.31
  6. Step 6: Final answer
    x = 6,681.66

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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.