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Finding the Fourth Proportional to 6,384.16, 9,578.04 and 3,097.36

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Solution

The fourth proportional to 6,384.16, 9,578.04 and 3,097.36 is: 4,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.16 : 9,578.04 = 3,097.36 : x
  2. Step 2: Convert to fraction form
    6,384.16/9,578.04 = 3,097.36/x
  3. Step 3: Cross multiply
    6,384.16x = 9,578.04 × 3,097.36
  4. Step 4: Simplify right side
    6,384.16x = 29,666,637.97
  5. Step 5: Solve for x
    x = 29,666,637.97/6,384.16
  6. Step 6: Final answer
    x = 4,646.91

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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.