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Finding the Fourth Proportional to 9,384.04, 14,040.82 and 5,622

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Solution

The fourth proportional to 9,384.04, 14,040.82 and 5,622 is: 8,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.04 : 14,040.82 = 5,622 : x
  2. Step 2: Convert to fraction form
    9,384.04/14,040.82 = 5,622/x
  3. Step 3: Cross multiply
    9,384.04x = 14,040.82 × 5,622
  4. Step 4: Simplify right side
    9,384.04x = 78,937,490.04
  5. Step 5: Solve for x
    x = 78,937,490.04/9,384.04
  6. Step 6: Final answer
    x = 8,411.89

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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.