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Finding the Fourth Proportional to 9,338.04, 14,007.06 and 2,412

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Solution

The fourth proportional to 9,338.04, 14,007.06 and 2,412 is: 3,618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.04 : 14,007.06 = 2,412 : x
  2. Step 2: Convert to fraction form
    9,338.04/14,007.06 = 2,412/x
  3. Step 3: Cross multiply
    9,338.04x = 14,007.06 × 2,412
  4. Step 4: Simplify right side
    9,338.04x = 33,785,028.72
  5. Step 5: Solve for x
    x = 33,785,028.72/9,338.04
  6. Step 6: Final answer
    x = 3,618.00

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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.