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Finding the Fourth Proportional to 6,252.93, 9,384 and 2,966.03

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Solution

The fourth proportional to 6,252.93, 9,384 and 2,966.03 is: 4,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.93 : 9,384 = 2,966.03 : x
  2. Step 2: Convert to fraction form
    6,252.93/9,384 = 2,966.03/x
  3. Step 3: Cross multiply
    6,252.93x = 9,384 × 2,966.03
  4. Step 4: Simplify right side
    6,252.93x = 27,833,225.52
  5. Step 5: Solve for x
    x = 27,833,225.52/6,252.93
  6. Step 6: Final answer
    x = 4,451.23

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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.