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Finding the Fourth Proportional to 6,384.12, 9,574.80 and 2,000.40

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Solution

The fourth proportional to 6,384.12, 9,574.80 and 2,000.40 is: 3,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.12 : 9,574.80 = 2,000.40 : x
  2. Step 2: Convert to fraction form
    6,384.12/9,574.80 = 2,000.40/x
  3. Step 3: Cross multiply
    6,384.12x = 9,574.80 × 2,000.40
  4. Step 4: Simplify right side
    6,384.12x = 19,153,429.92
  5. Step 5: Solve for x
    x = 19,153,429.92/6,384.12
  6. Step 6: Final answer
    x = 3,000.17

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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.