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Finding the Fourth Proportional to 9,384.04, 12,949.42 and 5,134.24

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Solution

The fourth proportional to 9,384.04, 12,949.42 and 5,134.24 is: 7,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.04 : 12,949.42 = 5,134.24 : x
  2. Step 2: Convert to fraction form
    9,384.04/12,949.42 = 5,134.24/x
  3. Step 3: Cross multiply
    9,384.04x = 12,949.42 × 5,134.24
  4. Step 4: Simplify right side
    9,384.04x = 66,485,430.14
  5. Step 5: Solve for x
    x = 66,485,430.14/9,384.04
  6. Step 6: Final answer
    x = 7,084.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.